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Publications results for "Items authored by Krasnosel\cprime ski\u\i, Aleksandr"

MR2232428 (2008a:34103) Krasnosel\cprime skii, Alexander M.; Rachinskii, Dmitrii I. Subharmonic bifurcation from infinity. J. Differential Equations 226 (2006), no. 1, 30--53. (Reviewer: Isaac A. García) 34C25 (34C23 37G15 47J15)

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MR2210458 (2006m:34119) Krasnosel\cprime ski\u\i, A. M.; Pokrovski\u\i, A. V. Dissipativity of a nonresonance pendulum with ferromagnetic friction. (Russian) Avtomat. i Telemekh. 2006, , no. 2, 57--69; translation in Autom. Remote Control 67 (2006), no. 2, 221--232 (Reviewer: Oleg A. Rasskazov) 34C55 (47J40 70K99)

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MR2185029 Krasnosel\cprime skii, A.; Rachinskii, D. On the number of branches of periodic solutions. EQUADIFF 2003, 246--248, World Sci. Publ., Hackensack, NJ, 2005. 34C25 (34C23)

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MR2174605 (2006g:47112) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On the number of unbounded solution branches in a neighborhood of an asymptotic bifurcation point. (Russian) Funktsional. Anal. i Prilozhen. 39 (2005), no. 3, 37--53, 95; translation in Funct. Anal. Appl. 39 (2005), no. 3, 194--206 (Reviewer: Vladimir P. Maksimov) 47J15 (34C23 34C25 47N20 58E07)

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MR2128881 (2005k:34164) Krasnosel\cprime skii, A. M.; Pokrovskii, A. V. Large subharmonics of pendulum-like equations. The first 60 years of nonlinear analysis of Jean Mawhin, 103--116, World Sci. Publ., River Edge, NJ, 2004. 34C25 (47N20)

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MR2114055 (2005k:65101) Krasnosel\cprime ski\u\i, A. M.; Pokrovski\u\i, A. V.; Rachinski\u\i, D. I. A comparison of guaranteed estimates for the rate of convergence of a class of iterative procedures. (Russian) Avtomat. i Telemekh. 2004, , no. 10, 128--133; translation in Autom. Remote Control 65 (2004), no. 10, 1635--1640 (Reviewer: A. M. Galperin) 65J15 (47J25)

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MR2084029 (2005h:47121) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. Branching of solutions at infinity of equations with double degeneration. (Russian) Dokl. Akad. Nauk 394 (2004), no. 4, 439--443. (Reviewer: Vladimir P. Maksimov) 47J15 (34C23 34C25 45P05)

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MR2079762 (2005g:34088) Krasnosel\cprime skii, A. M.; Rachinskii, D. I. Remark on the Hopf bifurcation theorem. Math. Nachr. 272 (2004), 95--103. (Reviewer: Henry W. Haslach, Jr.) 34C23 (37G10)

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MR2070618 (2006b:34099) Krasnosel\cprime skii, A. M.; McInerney, J.; Pokrovskii, A. V. Synchronized double-frequency oscillations in a class of weakly resonant systems. Nonlinear Anal. 57 (2004), no. 7-8, 929--949. (Reviewer: A. F. Ivanov) 34C23 (34C25 34K13 34K18)

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MR2154766 (2007a:34045) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. Continuous branches of cycles of higher-order equations. (Russian) Differ. Uravn. 39 (2003), no. 12, 1605--1616, 1725; translation in Differ. Equ. 39 (2003), no. 12, 1690--1702 (Reviewer: Eugene K. Ershov) 34C05 (37C25 47J15)

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MR2093350 (2005g:34103) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On a nonlocal condition for the existence of cycles of hysteresis systems. (Russian) Avtomat. i Telemekh. 2003, , no. 2, 60--87; translation in Autom. Remote Control 64 (2003), no. 2, 231--251 (Reviewer: Pavel Krej\v cí) 34C55 (34C25 47J40)

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MR2043034 (2005a:34064) Krasnosel\cprime ski\u\i, A. M.; Pokrovski\u\i, A. V. On large-amplitude subharmonics in a semilinear Duffing oscillator. (Russian) Dokl. Akad. Nauk 391 (2003), no. 4, 448--452. (Reviewer: Alois Klí\v c) 34C25 (34C15 35B10 35J60)

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MR2017413 (2005b:35010) Krasnosel\cprime skii, A. M.; Rachinskii, D. I. On continuous branches of twice periodic solutions of PDE. Functional differential equations and applications (Beer-Sheva, 2002). Funct. Differ. Equ. 10 (2003), no. 1-2, 291--301. (Reviewer: Rafael Ortega) 35B10 (35G30 35J60 47H99 47N20)

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MR2004527 (2004h:34081) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On continuous branches of cycles in systems with nonlinearizable nonlinearities. (Russian) Dokl. Akad. Nauk 389 (2003), no. 1, 11--16. (Reviewer: Milan Medve\v d) 34C23 (34K18 35B10 35J60)

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MR1937875 (2003j:34067) Krasnosel\cprime skii, A. M.; Rachinskii, D. I.; Schneider, K. Hopf bifurcations in resonance $2:1$. Nonlinear Anal. 52 (2003), no. 3, 943--960. (Reviewer: Efthimios Kappos) 34C23 (34H05 93C10)

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MR1930095 (2003h:34089) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On the existence of cycles in autonomous systems. (Russian) Dokl. Akad. Nauk 384 (2002), no. 2, 161--166. (Reviewer: Michal Fe\v ckan) 34C25 (34K13 35B10)

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MR1929424 (2003f:34081) Krasnosel\cprime skii, A. M.; Kuznetsov, N. A.; Rachinskii, D. I. On resonant differential equations with unbounded non-linearities. Z. Anal. Anwendungen 21 (2002), no. 3, 639--668. (Reviewer: Jean Mawhin) 34C25 (34B15 47H11 47H30)

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MR1891697 (2003a:34061) Krasnosel\cprime skii, Alexander; Rachinskii, Dmitrii On a bifurcation governed by hysteresis nonlinearity. NoDEA Nonlinear Differential Equations Appl. 9 (2002), no. 1, 93--115. 34C23 (34C55 34H05 37G99 47J40 93C10)

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MR1883739 (2003b:34087) Krasnosel\cprime skii, Alexander M.; Mennicken, Reinhard; Rachinskii, Dmitrii I. Small periodic solutions generated by sublinear terms. J. Differential Equations 179 (2002), no. 1, 97--132. (Reviewer: Jürgen Scheurle) 34C25 (34C23 37G15)

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MR1879870 (2003c:37072) Krasnosel\cprime skii, Alexander; Mennicken, Reinhard; Rachinskii, Dmitrii Cycle stability for Hopf bifurcation generated by sublinear terms. Math. Nachr. 233/234 (2002), 171--195. (Reviewer: Jürgen Scheurle) 37G15 (34C23 34C25 47N20)

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MR1892558 (2003b:47105) Krasnosel\cprime ski\u\i, A. M.; Kross, R.; Pokrovski\u\i, A. V. Time-dependent Preisach models and their properties. (Russian) Dokl. Akad. Nauk 381 (2001), no. 2, 180--184. 47J40 (47N10)

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MR1874331 (2002k:34075) Bliman, P.-A.; Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. Strong resonances under Hopf bifurcations in control systems. (Russian) Avtomat. i Telemekh. 2001, , no. 11, 29--50; translation in Autom. Remote Control 62 (2001), no. 11, 1783--1802 (Reviewer: Wojciech Kryszewski) 34C23 (34H05 37G15 37N35 93C15)

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MR1863745 (2002e:34077) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On the continua of cycles in systems with hysteresis. (Russian) Dokl. Akad. Nauk 378 (2001), no. 3, 314--319. 34C55 (34C05 34C25)

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MR1849657 (2002g:34084) Krasnosel\cprime skii, Alexander; Pokrovskii, Alexei On subharmonics bifurcation in equations with homogeneous nonlinearities. Discrete Contin. Dynam. Systems 7 (2001), no. 4, 747--762. (Reviewer: Thomas Bartsch) 34C23 (34C25 37G15 47H11)

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MR1817076 (2001j:93055) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. Existence of continua of cycles in Hamiltonian control systems. (Russian) Avtomat. i Telemekh. 2001, , no. 2, 65--74; translation in Autom. Remote Control 62 (2001), no. 2, 227--235 (Reviewer: M. K. Grammatikopoulos) 93C10 (34H05)

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MR1841379 (2002b:34065) Krasnosel\cprime ski\u\i, A. M.; Makinerni, D.; Pokrovski\u\i, A. V. Weak resonances for the Hopf bifurcation in control systems with nonpolynomial nonlinearities. (Russian) Dokl. Akad. Nauk 375 (2000), no. 5, 600--605. 34C23 (93C10)

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MR1827124 (2002b:34062) Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. On the Hamiltonicity of Lur\cprime e systems. (Russian) Avtomat. i Telemekh. 2000, , no. 8, 25--29; translation in Autom. Remote Control 61 (2000), no. 8, part 1, 1259--1262 (Reviewer: Vassili G. Gelfreich) 34C20 (70H05)

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MR1826860 (2002c:34065) Bliman, P.-A.; Krasnosel\cprime ski\u\i, A. M.; Rachinski\u\i, D. I. Sector estimates for nonlinearities and the existence of auto-oscillations in control systems. (Russian) Avtomat. i Telemekh. 2000, , no. 6, 3--18; translation in Autom. Remote Control 61 (2000), no. 6, part 1, 889--903 (Reviewer: V. A. Sobolev) 34C25 (34H05 93B28)

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MR1809366 (2002f:01039) {\cyr Mark Aleksandrovich Krasnosel\cprime ski\u\i}. (Russian) [Mark Aleksandrovich Krasnosel\cprime ski\u\i] {\cyr K 80-letiyu so dnya rozhdeniya}. [On the occasion of the eightieth anniversary of his birth] Compiled by Aleksandr Krasnosel\cprime ski\u\i. URSS, Moscow, 2000. 216 pp. ISBN: 5-8360-0178-2 (Reviewer: Jaroslav Zemánek) 01A70

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MR1800667 (2001i:34070) Krasnosel\cprime skii, A. M.; Mawhin, J. Periodic solutions of equations with oscillating nonlinearities. Nonlinear operator theory. Math. Comput. Modelling 32 (2000), no. 11-13, 1445--1455. 34C25 (34B15)

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MR1789652 (2001i:47105) Krasnosel\cprime ski\u\i, A. M.; Kuznetsov, N. A.; Rachinski\u\i, D. I. Resonance equations with unbounded nonlinearities. (Russian) Dokl. Akad. Nauk 373 (2000), no. 3, 295--299. 47J05 (34C23 34C25)

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MR1773632 (2001k:37078) Krasnosel\cprime ski\u\i, A. M.; Kuznetsov, N. A.; Rachinski\u\i, D. I. Nonlinear Hopf bifurcations. (Russian) Dokl. Akad. Nauk 372 (2000), no. 4, 455--458. 37G15 (34C23)

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MR1751028 (2000m:34085) Kloeden, Peter E.; Krasnosel\cprime skii, Alexander M. Periodic solutions of systems with asymptotically even nonlinearities. J. Appl. Math. Stochastic Anal. 13 (2000), no. 1, 41--50. (Reviewer: Maria Patrizia Pera) 34C25 (47H11 47J25)

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MR1739600 (2000j:47107) Krasnosel\cprime skii, A. M.; Mawhin, J. The index at infinity for some vector fields with oscillating nonlinearities. Discrete Contin. Dynam. Systems 6 (2000), no. 1, 165--174. 47H11 (34B15 47J05 47N20)

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MR1811653 (2001h:34104) Krasnosel\cprime ski\u\i, A. M. Unbounded sequences of cycles in automatic control systems. (Russian) Avtomat. i Telemekh. 1999, , no. 8, 74--84; translation in Automat. Remote Control 60 (1999), no. 8, part 1, 1117--1125 34K13 (34K35 93C23)

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MR1810277 (2002b:34067) Krasnosel\cprime ski\u\i, A. M.; Chernorutski\u\i, V. V. Hopf bifurcations generated by small nonlinear terms. (Russian) Avtomat. i Telemekh. 1999, , no. 9, 29--35; translation in Automat. Remote Control 60 (1999), no. 9, part 1, 1237--1242 (Reviewer: L. Górniewicz) 34C25 (37C27)

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MR1809199 (2002b:34066) Krasnosel\cprime skii, A.; Rachinskii, D. Hopf bifurcations at infinity, generated by bounded nonlinear terms. Funct. Differ. Equ. 6 (1999), no. 3-4, 357--374. (Reviewer: L. Górniewicz) 34C23 (34C25 37C27)

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MR1679624 (2000b:47131) Kloeden, P. E.; Krasnosel\cprime skii, A. M. Twice degenerate equations in spaces of vector-valued functions. Arab J. Math. Sci. 4 (1998), no. 1, 1--28. (Reviewer: Massimo Lanza de Cristoforis) 47H11 (34B15 34C25 47N20)

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MR1672732 (2000a:93084) Bliman, P.-A.; Krasnosel\cprime ski\u\i, A. M. The Popov criterion in problems of forced oscillations in control systems. (Russian) Avtomat. i Telemekh. 1998, , no. 4, 3--14; translation in Automat. Remote Control 59 (1998), no. 4, part 1, 457--466 (Reviewer: Alexandre G. Ivanov) 93D10 (34C25 34D99 34H05)

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MR1607269 (99c:47096) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A. Vector fields in the direct product of spaces, and applications to differential equations. (Russian) Differ. Uravn. 33 (1997), no. 1, 60--67, 142; translation in Differential Equations 33 (1997), no. 1, 59--66 (Reviewer: Christian Fenske) 47H11 (34B15 34C25 58C30)

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MR1487651 (99c:34079) Bliman, P.-A.; Krasnosel\cprime skii, A. M. Periodic solutions of linear systems coupled with relay. Proceedings of the Second World Congress of Nonlinear Analysts, Part 2 (Athens, 1996). Nonlinear Anal. 30 (1997), no. 2, 687--696. (Reviewer: J. W. Macki) 34C25

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MR1476870 Kloeden, P. E. In memoriam Mark A. Krasnosel\cprime skii, Moscow: April 27, 1920--February 13, 1997. With assistance from N. A. Bobylev, V. S. Kozyakin, A. M. Krasnosel\cprime skii, A. V. Pokrovskii and B. N. Sadovski\u\i. Mitt. Ges. Angew. Math. Mech. 20 (1997), no. 1, 13--14. 01A70

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MR1475565 (99a:47094) Diamond, P.; Kloeden, P. E.; Krasnosel\cprime skii, A. M.; Pokrovskii, A. V. Bifurcation at infinity for equations in spaces of vector-valued functions. J. Austral. Math. Soc. Ser. A 63 (1997), no. 2, 263--280. (Reviewer: Jean Mawhin) 47H15 (34B15 34C25 47H11 47H30)

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MR1447014 (97m:34076) Krasnosel\cprime ski\u\i, A. M. On forced oscillations in systems with even unbounded functional characteristics. (Russian) Avtomat. i Telemekh. 1997, , no. 2, 27--36; translation in Automat. Remote Control 58 (1997), no. 2, part 1, 173--181 34C25 (34H05 47H11 47N20 93C15)

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MR1398753 (98b:34056) Bliman, P.-A.; Sorin, M.; Vladimirov, A. A.; Krasnosel\cprime ski\u\i, A. M. Forced oscillations in control systems with hysteresis. (Russian) Dokl. Akad. Nauk 347 (1996), no. 4, 458--461. (Reviewer: J. W. Macki) 34C25 (34C23 34H05 34K15 47H15 47N20 93C15)

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MR1396029 (98b:34057) Bliman, P.-A.; Krasnosel\cprime skii, A. M.; Sorine, M.; Vladimirov, A. A. Nonlinear resonance in systems with hysteresis. Nonlinear Anal. 27 (1996), no. 5, 561--577. (Reviewer: Pyotr M. Simonov) 34C25 (34A34 34C15 47H30 47N20)

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MR1373260 (96m:93084) Krasnosel\cprime ski\u\i, A. M.; Sorin, M. Discrete asynchronous iterations. (Russian) Avtomat. i Telemekh. 1995, , no. 11, 64--73; translation in Automat. Remote Control 56 (1995), no. 11, part 1, 1557--1564 (1996) (Reviewer: È. G. Al\cprime brekht) 93C62 (93D05)

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MR1355871 (96j:47054) Krasnosel\cprime ski\u\i, A. M.; Mawhin, J. The index at infinity of some twice degenerate compact vector fields. Discrete Contin. Dynam. Systems 1 (1995), no. 2, 207--216. (Reviewer: Massimo Lanza de Cristoforis) 47H11 (47H30 58C30)

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MR1350724 (96h:34077) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A.; Mawhin, J. Differential inequalities in problems of forced nonlinear oscillations. Nonlinear Anal. 25 (1995), no. 9-10, 1029--1036. (Reviewer: Roman Srzednicki) 34C25 (34A40 34C15)

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MR1350297 (96f:47121) Krasnosel\cprime skii, Alexander M. Asymptotics of nonlinearities and operator equations. Translated from the 1992 Russian original by Mircea Martin. Operator Theory: Advances and Applications, 76. Birkhäuser Verlag, Basel, 1995. viii+278 pp. ISBN: 3-7643-5175-6 47H15 (34B15 47H11 47N20)

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MR1341523 (96g:65056) Eirola, T.; Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A.; Kuznetsov, N. A.; Nevanlinna, O. Incomplete corrections in nonlinear problems. Nonlinear Anal. 25 (1995), no. 7, 717--728. (Reviewer: V. V. Vasin) 65J15 (47H15 47H17)

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MR1328967 (96b:34096) Krasnosel\cprime ski\u\i, A. M. Nonlinear resonance in systems with delay. (Russian) Avtomat. i Telemekh. 1995, , no. 2, 14--21; translation in Automat. Remote Control 56 (1995), no. 2, part 1, 160--166 (Reviewer: Pavel Drábek) 34K15 (34K10 47N20)

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MR1325638 (96b:34031) Krasnosel\cprime skii, Alexander M.; Mawhin, Jean On some higher order boundary value problems at resonance. Nonlinear Anal. 24 (1995), no. 8, 1141--1148. (Reviewer: Yong Hoon Lee) 34B15 (47H15 47N20)

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MR1319018 (96k:34085) Krasnosel\cprime ski\u\i, A. M. Nonresonance sector estimates for nonlinearities in the problem of forced oscillations in control systems. (Russian) Avtomat. i Telemekh. 1994, , no. 12, 43--48; translation in Automat. Remote Control 55 (1994), no. 12, part 1, 1740--1744 (1995) (Reviewer: Arkadi\u\i Kryazhimski\u\i) 34C25 (34A12 93C15)

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MR1304553 (95k:65035) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A.; Kuznetsov, N. A.; Eirola, T.; Nevanlinna, O. Iterations with incomplete corrections for linear systems with selfadjoint operators. (Russian) Dokl. Akad. Nauk 338 (1994), no. 1, 35--38. (Reviewer: Jan Zítko) 65F10 (65J10)

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MR1280203 (95d:34063) Krasnosel\cprime skii, Alexander M.; Krasnosel\cprime skii, Mark A.; Mawhin, Jean; Pokrovskii, Alexei Generalized guiding functions in a problem on high frequency forced oscillations. Nonlinear Anal. 22 (1994), no. 11, 1357--1371. (Reviewer: Valeri Obukhovski\u\i) 34C25 (34C15)

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MR1270990 (95d:55002) Bobylëv, N. A.; Dement\cprime eva, A. M.; Krasnosel\cprime ski\u\i, A. M. On the Poincaré index in control and optimization problems. (Russian) Avtomat. i Telemekh. 1994, , no. 2, 32--38; translation in Automat. Remote Control 55 (1994), no. 2, part 1, 172--177 (Reviewer: Wojciech Kryszewski) 55M25 (34C25 47H11 93B27)

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MR1239266 (94f:47077) Krasnosel\cprime skii, Alexander M. On algebraic number of solution of systems with Landesman-Lazer type nonlinearities. Adv. Math. Sci. Appl. 2 (1993), no. 2, 391--395. (Reviewer: P. W. Bates) 47H15 (34B15 34C25 58E05)

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MR1235115 (94i:34077) Krasnosel\cprime ski\u\i, A. M. On nonlinear resonance in systems with hysteresis. Models of hysteresis (Trento, 1991), 71--76, Pitman Res. Notes Math. Ser., 286, Longman Sci. Tech., Harlow, 1993. (Reviewer: Pavel Krej\v cí) 34C23 (34C25 47H15 47H30 47N20)

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MR1266018 (94m:58039) Krasnosel\cprime skii, Alexander M.; Mawhin, Jean Remark on some type of bifurcation at infinity. Acad. Roy. Belg. Bull. Cl. Sci. (6) 3 (1992), no. 12, 293--297. (Reviewer: B. V. Loginov) 58E07 (47H15)

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MR1220909 (94c:47084) Krasnosel\cprime ski\u\i, A. M. {\cyr Asimptotika neline\u\i noste\u\i i operatornye uravneniya}. (Russian) [Asymptotics of nonlinearities, and operator equations] ``Nauka'', Moscow, 1992. 254 pp. ISBN: 5-02-006945-0 (Reviewer: Pavel Drábek) 47H15 (34B15 47H11 47N20)

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MR1184026 (93h:34062) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A.; Mawhin, J. On some conditions for existence of forced periodic oscillations. Differential Integral Equations 5 (1992), no. 6, 1267--1273. (Reviewer: Maria Patrizia Pera) 34C25 (34B15 47N20)

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MR1171606 (93g:47079) Krasnosel\cprime skii, Alexander M. On bifurcation points of equations with Landesman-Lazer type nonlinearities. Nonlinear Anal. 18 (1992), no. 12, 1187--1199. (Reviewer: Maria J. Esteban) 47H15 (34A47 34B15 35B32 47N20 58E07 58G28)

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MR1148290 (92m:47122) Appell, J.; Krasnosel\cprime skij, A. M. New theorems on asymptotic bifurcation points. Nonlinear Anal. 18 (1992), no. 3, 269--275. (Reviewer: Jesús Hernández) 47H15 (34B15 34H05 47H11 47N20 58E07)

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MR1258550 (94k:47100) Krasnosel\cprime skii, Alexander M.; Krasnosel\cprime skii, Mark A. On some class of equations with potential operators. Dedicated to the memory of Professor Gottfried Köthe. Note Mat. 11 (1991), 237--245. (Reviewer: P. P. Zabre\u\i ko) 47H30 (45G10 47N20)

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MR1127277 (92j:34075) Krasnosel\cprime ski\u\i, A. M. On the occurrence of large-amplitude oscillatory regimes in systems with saturation. (Russian) Dokl. Akad. Nauk SSSR 318 (1991), no. 4, 844--848; translation in Soviet Phys. Dokl. 36 (1991), no. 6, 419--421 (Reviewer: Pavel Drábek) 34C15 (34A47 34B15 47H15)

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MR1126098 (92j:47123) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A.; Kuznetsov, N. A. Nonlinear systems with incomplete corrections and their stability. (Russian) Dokl. Akad. Nauk SSSR 318 (1991), no. 2, 291--294; translation in Soviet Phys. Dokl. 36 (1991), no. 5, 356--357 47H15

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MR1093845 (92b:47102) Krasnosel\cprime ski\u\i, A. M. On a method of analysis of resonance problems. Nonlinear Anal. 16 (1991), no. 4, 321--345. (Reviewer: Norman Dancer) 47H15

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MR1151738 (92j:34083) Dement\cprime eva, A. M.; Krasnosel\cprime ski\u\i, A. M.; Yumagulov, M. G. On the approximate construction of periodic solutions of a first-order nonlinear equation. (Russian) Dokl. Akad. Nauk Tadzhik. SSR 33 (1990), no. 11, 712--715 (1991). 34C25 (34A45 34B15)

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MR1098459 (92b:47101) Krasnosel\cprime ski\u\i, A. M. Joint norm of operators and the study of nonlinear problems. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 12, 1605--1616; translation in Ukrainian Math. J. 42 (1990), no. 12, 1442--1452 (1991) (Reviewer: Pavel Drábek) 47H15 (34B15 47A30)

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MR1071095 (92b:34102) Dement\cprime eva, A. M.; Krasnosel\cprime ski\u\i, A. M.; Yumagulov, M. G. The operator of a periodic problem for a first-order equation. (Russian) Dokl. Akad. Nauk Tadzhik. SSR 32 (1989), no. 12, 802--805 (1990). (Reviewer: J. Dane\v s) 34L05 (34B15 34C15 47E05)

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MR1008369 (90h:34101) Bobylëv, N. A.; Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A. Stability of periodic oscillations and the possibility of their construction by the method of harmonic balance. (Russian) Avtomat. i Telemekh. 1989, no. 5, 179--181. (Reviewer: Yuri V. Rogovchenko) 34H05 (34C15 93C10)

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MR0983020 (89m:93037) Krasnosel\cprime ski\u\i, A. M. Conditions for the applicability of Fredholm theorems in the analysis of forced oscillations in nonlinear systems. (Russian) Avtomat. i Telemekh. 1988, no. 12, 162--164. 93C10 (34C15 34C25 70K40)

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MR0916544 (89k:47103) Krasnosel\cprime ski\u\i, A. M. Boundary value problems for equations that are asymptotically degenerate. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 207--210, `Angel Kanchev' Tech. Univ., Ruse, 1987. (Reviewer: Jan Andres) 47H15 (34B15 35J65)

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MR0899862 (88i:34031) Krasnosel\cprime ski\u\i, A. M. Directed corrections in the method of harmonic balance. (Russian) Dokl. Akad. Nauk SSSR 294 (1987), no. 6, 1314--1318. (Reviewer: A. D. Ziebur) 34A45

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MR0887719 (88f:34062) Krasnosel\cprime ski\u\i, A. M.; Vladimirov, A. A.; Pokrovski\u\i, A. V. Averaging and limit hysteresis nonlinearities. (Russian) Ukrain. Mat. Zh. 39 (1987), no. 1, 39--45, 133. (Reviewer: D. Ba\u\i nov) 34C29

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MR0878650 (88c:34051) Krasnosel\cprime ski\u\i, A. M. Forced oscillations in systems with hysteresis nonlinearities. (Russian) Dokl. Akad. Nauk SSSR 292 (1987), no. 5, 1078--1082. 34C25 (34A34 47H15)

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MR0896845 (88e:49064) Krasnosel\cprime ski\u\i, A. M. New theorems on forced periodic oscillations in nonlinear control systems. J. Appl. Math. Mech. 50 (1986), no. 2, 165--170 (1987); translated from Prikl. Mat. Mekh. 50 (1986), no. 2, 224--230(Russian) (Reviewer: Roman Swiniarski) 49D50 (34C15 93C10)

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MR0884577 (88e:93015) Krasnosel\cprime ski\u\i, A. M. On a class of linear elements with fractional-rational transfer functions. (Russian) Avtomat. i Telemekh. 1986, no. 11, 166--170. 93B05 (93B28)

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MR0862446 (88a:93001) Bobylëv, N. A.; Boltyanski\u\i, V. G.; Vsekhsvyat\cydot ski\u\i, S. Yu.; Kalashnikov, V. V.; Kozyakin, V. S.; Kolmanovski\u\i, V. B.; Kravchenko, A. A.; Krasnosel\cprime ski\u\i, A. M.; Pokrovski\u\i, A. V. {\cyr Matematicheskaya teoriya sistem}. (Russian) [Mathematical systems theory] ``Nauka'', Moscow, 1986. 166 pp. (Reviewer: V. Popescu) 93-02 (49-02 49B10)

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MR0804117 (87a:34042) Krasnosel\cprime ski\u\i, A. M. One-sided estimates in a problem of forced oscillations in nonlinear control systems. (Russian) Dokl. Akad. Nauk SSSR 283 (1985), no. 2, 284--286. (Reviewer: Li Li) 34C25

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MR0796953 (86j:34029) Krasnosel\cprime ski\u\i, A. M.; Krasnosel\cprime ski\u\i, M. A. Large amplitude cycles in autonomous systems with hysteresis. (Russian) Dokl. Akad. Nauk SSSR 283 (1985), no. 1, 23--26. (Reviewer: Alois Klí\v c) 34C05 (34H05)

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MR0795658 (86g:34098) Krasnosel\cprime ski\u\i, A. M.; Petrov, D. I. Periodic oscillations in control systems with delays. (Russian) Avtomat. i Telemekh. 1984, no. 6, 169--171. 34K15

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MR0785494 (86d:34108) Krasnocel\cprime skiy, A. M. On the problem of forced oscillations in nonlinear control systems. Engrg. Cybernetics 22 (1984), no. 5, 92--99 (1985); translated from Izv. Akad. Nauk SSSR Tekhn. Kibernet. 1984, , no. 4, 176--182, 238(Russian) 34H05 (34C15 70K40)

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MR0753382 (87e:34073) Krasnosel\cprime ski\u\i, A. M. Forced periodic oscillations in nonlinear systems. (Russian) Dokl. Akad. Nauk SSSR 276 (1984), no. 6, 1356--1359. 34C25

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MR0751665 (85j:58042) Krasnosel\cprime ski\u\i, A. M.; Yumagulov, M. G. Bifurcation values of parameters in the problem of forced oscillations of automatic control systems. (Russian) Dokl. Akad. Nauk Tadzhik. SSR 26 (1983), no. 11, 679--682. (Reviewer: T. R. Gichev) 58E07 (47H99 93B28)

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MR0747003 (85i:34019) Krasnosel\cprime ski\u\i, A. M. Forced periodic oscillations in complex nonlinear systems. Automat. Remote Control 44 (1983), no. 10, part 1, 1301--1306 (1984); translated from Avtomat. i Telemekh. 1983, , no. 10, 76--82(Russian) (Reviewer: O. Vejvoda) 34C15 (70K40 93C10)

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MR0649317 (83d:34069) Krasnosel\cprime ski\u\i, A. M. Frequency criteria in the problem of forced oscillations in controlled systems. (Russian) Automat. Remote Control 1980, no. 9, 23--30 (Reviewer: A. Halanay) 34C25 (58F14 93C15)

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MR0615768 (82g:34009) Krasnosel\cprime ski\u\i, A. M. Special estimates of solutions of linear differential equations. (Russian) Qualitative and approximate methods for the investigation of operator equations (Russian), pp. 86--89, 167, Yaroslav. Gos. Univ., Yaroslavl\cprime, 1980. (Reviewer: Nicolae Luca) 34A30

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MR0562026 (81d:34016) Krasnosel\cprime ski\u\i, A. M. New a priori estimates of the solutions of a two-point boundary value problem and their applications. (Russian) Sibirsk. Mat. Zh. 21 (1980), no. 1, 115--124, 237. (Reviewer: P. B. Bailey) 34B15

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MR0514774 (80c:47054) Krasnosel\cprime ski\u\i, A. M. A priori estimates of the norms of solutions of scalar inequalities. (Russian) Dokl. Akad. Nauk SSSR 243 (1978), no. 5, 1119--1122. (Reviewer: J. Kolom\'y) 47H15

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MR0559900 (80k:34066) Krasnosel\cprime ski\u\i, A. M. A criterion of convexity for integral curves. (Russian) Proceedings of a Seminar on Differential Equations, No. 3 (Russian), pp. 54--57, 146, Ku\u\i byshev. Gos. Univ., Kuybyshev, 1977. 34C99

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MR0467412 (57 #7271) Krasnosel\cprime ski\u\i, A. M. Remarks on the fixed points of monotone operators. (Russian) Uspehi Mat. Nauk 32 (1977), no. 6(198), 257--258. (Reviewer: V. V. Obuhovskii) 47H10

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