A. Krasnosel'skii - Publications

2013

Kloeden P., Krasnosel'skii A., Krejci P., Rachinskii D., Alexei V. Pokrovskii (02.06.1948 -- 01.09.2010). Discrete and Continuous Dynamical Systems, Series B, 18, #2, 2013, p. i-iii
Krasnosel'skii A., Resonant forced oscillations in systems with periodic nonlinearities, Discrete and Continuous Dynamical Systems, Series A, 2013, 33, 1,239-254
Krasnosel'skii A., O'Grady E., Pokrovskii A.V., Rachinskii D., Periodic canard trajectories with multiple segments following the unstable part of critical manifold, Discrete and Continuous Dynamical Systems, Series B, 18, 2, 2013, 467-482
Krasnosel'skii A., Unbounded sequences of cycles in general autonomous equations with periodic nonlinearities, Discrete and Continuous Dynamical Systems, Series S, 2013, 6, 4, 999-1016

2011

Krasnosel'skii A., System with periodic nonlinearities, Doklady mathematics, 83, 3, 2011, 328331

2010

Krasnosel'skii A., Hopf Bifurcations at infinity. In "Modern methods in the theory of boundary value problems", Voronezh, VSU publ., 2010, 127-128 [Russian]
Krasnosel'skii A., Singular Andronov-Hopf bifurcations at infinity, Automation and Remote Control, 2010, 72, 11, 2307-2319
Krasnosel'skii A., Index at infinity and bifurcations of twice degenerate vector fields, Topological Methods in Nonlinear Analysis, 35, 1, 2010, 99-126
O'Ceallaigh S., Krasnosel'skii A., Pimenov A., Rachinskii D., Fold bifurcations and linear stability analysis in systems with Preisach hysteresis, in ``Rate-Independent Evolutions and Material Modeling"" (Special Section of EQUADIFF 2007), T. Roubicek and U. Stefanelli (Eds.), Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, ISSN 1772-8964, 2010, 39-44 http://www.imati.cnr.it/ulisse/papers/EQUADIFF_proceedings.pdf

2009

Krasnosel'skii A., Unbounded branches of periodic oscillations, Differentsialnye uravneniya, 2009, 45, 1-20 [Russian]

2008

Krasnosel'skii A., Rachinskii D.I., Bifurcations to unbounded sequence of cyclic branches of solutions, Abstracts of the Fifth International Conference on Differential and Functional Differential Equations, DFDE2008, Moscow, Russia, August 17-24, 2008, 38-39.
Krasnosel'skii A., I. Rachinskii D., Nontrivial bifurcations at infinity. Proceedings of the Int. conference "Differential equations and topology", Moscow, 2008, 148-149 [Russian] http://pont2008.cs.msu.ru/
Krasnosel'skii A., Rachinskii D., On disconnected unbounded sets of forced oscillations, Doklady Mathematics, 2008, 78, No.2, 660-664
Kozyakin V., Krasnosel'skii A., D.I.Rachinskii, Arnold tongues for bifurcation from infinity, Discrete and Continuous Dynamical Systems - Series S, 1, 1 (2008) 107-116 .
Krasnosel'skii A., Rachinskii D.I., Criterion of nonlinear resonance appearence in single-loop control system with saturation, Avtomatika i telemehanika, 8, 2008, 33-47 [Russian]
Bouse E., Krasnosel'skii A., Pokrovskii A.V., Rachinskii D.I., Non-local Branches of Cycles, Bi-stability, and Mixed Mode Oscillations, Chaos, 18, 1, 015109 (2008).
Krasnosel'skii A., Double degeneration in the problem on unbounded branches of forced oscillations, Doklady Mathematics, 77, 2, 2008, 170-174
Kozyakin V., Krasnosel'skii A., Rachinskii D.I., Asymptotics of the Arnold tongues in problems at infinity, Discrete and Continuous Dynamical Systems- Series A, 2008, 20, 4, 989-1011.

2007

Krasnosel'skii A., Pokrovskii A.V., Topologically stable subharmonics of large periods and amplitudes, Differential equations, 43, 2 (2007) 218-245

2006

Krasnosel'skii A., Pokrovskii A.V., Dissipativity of pendulum with ferromagnetic friction, Automation and Remote Control, 67, 2 (2006) 221-232
Krasnosel'skii A., D.I.Rachinskii, Subharmonic bifurcation at infinity, Journal of Differential Equations, 226, 1, 2006, 30-53
Kozyakin V., Krasnosel'skii A., Rachinskii D.I., Arnold Tongues in the Problem of Large-Amplitude Periodic Trajectories, Doklady Mathematics,74, 3 (2006) 821-827

2005

Krasnosel'skii A., Rachinskii D.I., On the number of branches of periodic solutions, EQUADIFF 2003, World Scientific Publishing, 2005, 246-248
Krasnosel'skii A., Rachinskii D.I., On a number of solution branches at asymptotic bifurcation point, Functional analysis and applications, 39, 3 (2005) 194-206
Krasnosel'skii A., Rachinskii D.I., Bifurcation of forced periodic oscillations for equation with Preisach hysteresis, Journal of Physics. Conference Series, 22, 2005, 93-102

2004

Krasnosel'skii A., Pokrovskii A.V., Rachinskii D.I., A comparison of guaranteed estimates for the rate of convergence of a class of iterative procedures, Automation and Remote Control, 65, 10 (2004) 1635-1640
Krasnosel'skii A., Rachinskii D.I., Branching at infinity of solutions to equations with degeneration of multiplicity 2, Doklady Mathematics, 69, 1 (2004) 79-83
Krasnosel'skii A., Rachinskii D.I., Remark on Hopf Bifurcation Theorem, Mathematische Nachrichten, 272, 2004, 95-103
Krasnosel'skii A., McInerney J., Pokrovskii A.V., Sinchronized double frequency oscillations in a class of weakly resonant systems, Nonlinear Analysis. Theory, Methods & Applications, 57, 7-8, 2004, 929-949
Krasnosel'skii A., Pokrovskii A.V., Large subharmonics of pendulum-like equations, In `The first 60 years of NONLINEAR ANALYSIS of JEAN MAWHIN`, Eds. M. Delgado, J.Lopez-Gomez, R.Ortega, A.Suarez, World Scientific Publishing, 2004, 103-116

2003

Krasnosel'skii A., Rachinskii D.I., On global branches of cycles and Hopf byfurcations, Proceedings of international conference "Modern problems on functional analysis and differential equations", Voronezh, 2003, 159-161 [Russian]
Krasnosel'skii A., Rachinskii D.I., Nonlocal theorems on Hopf bifurcations, Abstracts of international conference Kolmogorov and contemporary mathematics, Moscow, 2003, 67-68
Krasnosel'skii A., Rachinskii D.I., On a nonlocal condition for the existence of cycles of hysteresis systems, Automation and Remote Control, 64, 2 (2003) 231-251
Krasnosel'skii A., Rachinskii D.I., Schneider K., Hopf bifurcations in resonans 2:1, Nonlinear Analysis, Theory, Methods & Applications, 52, 3, 2003, 943-960
Krasnosel'skii A., A.V. Pokrovskii , Remark on Rotation of Bilinear Vector Fields, Preprint No. 04/2003 of the School of Mathematics, Applied Mathematics and Statistics, National University of Ireland, University College, Cork, 2003, 1-9
Krasnosel'skii A., Pokrovskii A.V., Subharmonics of large amplitudes in a semilinear Duffing oscillator, Doklady Mathematics, 68, 1 (2003) 84-88
Krasnosel'skii A., D.I.Rachinskii, On continuous branches of cycles in systems with nonlinearizable nonlinearities, Doklady Mathematics, 67, 2 (2003) 153-157
Krasnosel'skii A., Rachinskii D.I., Continua of cycles of higher-order equations, Differential Equations, 39, 12 1690-1702 (2003)
Krasnosel'skii A., Rachinskii D.I., On continuous branches of twice periodic solutions of some PDE, Functional Differential Equations, 10, 1-2, 2003, 291-301

2002

Krasnosel'skii A., Rachinskii D.I., Mennicken R., Small periodic solutions generated by sublinear terms, Journal of Differential Equations, 179, 2002, 97-132
Krasnosel'skii A., Mennicken R., Rachinskii D.I., Cycle stability for Hopf bifurcation, generated by sublinear terms, Mathematische Nachrichten, 235, 2002, 171-195
Krasnosel'skii A., Rachinskii D.I., On a bifurcation governed by hysteresis nonlinearity, Nonlinear Differential Equations and Applications, 9, 2002, 93-115
Krasnosel'skii A., Rachinskii D.I., Kuznetsov N.A., On resonant differential equations with unbounded nonlinearities, Journal for Analysis and Applications, 21, 3, 2002, 639-668
Krasnosel'skii A., Rachinskii D.I., On existence of cycles in autonomous systems, Doklady Mathematics, 65, 3, (2002) 344-349

2001

Krasnosel'skii A., Rachinskii D.I., Continua of Cycles in Hamiltonian Control Systems, Automation and Remote Control, 62, 2 (2001) 227-235
Krasnosel'skii A., Rachinskii D.I., On continua of cycles in systems with hysteresis, Doklady Mathematics, 63, 3, 243-248 (2001)
Krasnosel'skii A., Pokrovskii A.V., On subharmonics bifurcation in equations with homogeneous nonlinearities, Discrete and Continuous Dynamical Systems, 7, 7, 2001, 100-114
Krasnosel'skii A., Cross R., Pokrovskii A.V., Time-dependent Preisach nonlinearities and their properties, Doklady Mathematics, 64, 3 (2001) 435-438
Bliman P.-A., Krasnosel'skii A., Rachinskii D.I., On strong resonances for Hopf bifurcations in control systems, Automation and Remote Control, 62 2 (2001) 1783-1802
Krasnosel'skii A., Cross R., Pokrovskii A.V., A time-dependent Preisach model, Physica B: Condensed Matter, 306, 2001, 1-4, 206-210
Krasnosel'skii A., Rachinskii D.I., Hopf bifurcations in systems with Preisach hysteresis, Abstracts of the 1st SIAM-EMS conference "Applied Mathematics in our Changing World", Berlin, 2001, p. 29
Krasnosel'skii A., Rachinskii D.I., On existence of cycles for quasilinear ODE of higher order, Izvestija RAEN, ser. MMMIU, 5, 1-2, 143-151 (2001)

2000

Krasnosel'skii A., McInerney J., Pokrovskii A.V., Weak resonances in Hopf bifurcations for control systems with nonpolynomial nonlinearities, Doklady Mathematics, 62, 3, 432-437 (2000)
Krasnosel'skii A., Mawhin J., Periodic solutions of equations with oscillating nonlinearities, Mathematical and Computer Modelling, 32, 2000, 1445-1455
Krasnosel'skii A., Kuznetsov N.A., Rachinskii D.I., Nonlinear Hopf bifurcations, Doklady Mathematics, 61, 3, 389-392 (2000)
Krasnosel'skii A., Kuznetsov N.A., Rachinskii D.I., On resonant equations with unbounded nonlinearities, Doklady Mathematics, 62, 1, 44-48 (2000)
Krasnosel'skii A., Rachinskii D.I., On Hamiltonian Lurie systems, Automation and Remote Control, 61, 8, p.1, 1259-1262 (2000)
Bliman P.-A., Krasnosel'skii A., Rachinskii D.I., Sector estimates of nonlinearities and self-oscillation existence in control systems, Automation and Remote Control, 61, #6, p.1, 889-903 (2000)
Krasnosel'skii A., Kloeden P., Oscillations in systems with asymptotically even nonlinearities, Journal of Applied Mathematics and Stochastic Analysis, 13, 2000, 41-50
Krasnosel'skii A., Mawhin J., The index at infinity for some vector fields with oscillating nonlinearities, Discrete and Continuous Dynamical Systems, 6, 1, 2000, 165-174
Krasnosel'skii A., Mennicken R., Rachinskii D.I., Hopf bifurcation generated by small nonlinear terms, Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM), 80, 2000, S2, 289-290

1999

Krasnosel'skii A., On oscillations in resonant equations with complex nonlinearities, Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation (MED99), Israel, 1999, 1231-1243
Krasnosel'skii A., Unbounded sequences of cycles in autonomous control systems, Automation and Remote Control, 60, #8, p.1, 1117-1125 (1999)
Krasnosel'skii A., Chernorutskii V.V., Hopf bifurcations from equilibrium, generated by small nonlinear terms, Automation and Remote Control, 60, #9, p.1, 1237-1242 (1999)
Krasnosel'skii A., Rachinskii D.I., Hopf bifurcations from infinity, generated by bounded nonlinear terms, Functional Differential Equations, 6, 3-4, 1999, 357-374
Krasnosel'skii A., Bliman P.-A., Popov absolute stability criterion for time-varying multivariable nonlinear systems, Proceedings of European Conference, Germany, Karlsruhe, F888, 1999, 1-6

1998

Bliman P.-A., Krasnosel'skii A., Periodic solutions of linear systems coupled with relay, Nonlinear Analysis, Theory, Methods & Applications, 30, 2, 1998, 687-696
Bliman P.-A., Krasnosel'skii A., Popov criterion and forced periodic oscillations, Automation and Remote Control, 59, #4, p.1, 457-466 (1998)
Krasnosel'skii A., Rachinskii D.I., Numerical sequence limit, student manual, State Jewish Academy, 1998, 1-24 [Russian]
Krasnosel'skii A., Rachinskii D.I., Numerical series, student manual, State Jewish Academy, 1998, 1-22 [Russian]
Kloeden P., Krasnosel'skii A., Twice degenerate equations in the spaces of vector-valued functions, Arab Journal of Mathematical Sciences, 4, 1, 1998, 1-28
Bliman P.-A., Krasnosel'skii A., Popov-like frequency criterion for existence of forced periodic oscillations, Proceedins of the 37th IEEE Conference on Decision and Control, Tampa, Florida, TM 12-7, 1998, 2467-2472
Krasnosel'skii A., Mawhin J., Equations with sequences of solutions. Modern methods in BVP, proceedings of the 10th Pontryagin conference, Voronezh, 1988, p.112 [Russian]
Bliman P.-A., Krasnosel'skii A., An extension of Popov criterion to multivariable time-varying nonlinear systems. Application to criterion for existence of stable limit cycles, Res. Raport INRIA no. 3512, 1998, 1-19

1997

Krasnosel'skii A., Pokrovskii A.V., Krasnosel'skii M.A., Hysteresis. Hysteron. Non-ideal relay. Encyclopaedia of Mathematics, Supplement Volume I, Editor-in-Chief: Prof. Dr. M. Hazewinkel, Kluwer Acad. Publ., 1997, p. 310, p. 384
Krasnosel'skii A., Krasnosel'skii M.A., Vector fields in a product of spaces and applications to differential equations, Differential equations, 33, #1, 59-66 (1997)
Krasnosel'skii A., On forced oscillations in systems with even functional unbounded characteristics, Automation and Remote Control, 58 2, p.1, 27-36 (1997)
Diamond P., ., Krasnosel'skii A., Pokrovskii A.V., Bifurcations at infinity for equations in the spaces of vector-valued functions, Journal of Australian Mathematical Society, Series A, 63, 1997, 263-280
Bobylev N.A., Kloeden P., Kozyakin V., Krasnosel'skii A., Pokrovskii A.V., Sadovskii B.N., In Memoriam Mark A.Krasnosel"skii. Moscow: April 27, 1920 February 13, 1997. Mitteilungen der Gesellschaft fur Angewandte Math. and Mech., 20, 1 (1997), 13-14. http://downloads.hindawi.com/journals/ijsa/1997/240621.pdf

1996

Bliman P.-A., Vladimirov A.A., Krasnosel'skii A., Sorine M., Nonlinear resonance in systems with hysteresis, Nonlinear Analysis. Theory, Methods & Applications, 27, 5, 1996, 561-577
Bliman P.-A., Vladimirov A.A., Krasnosel'skii A., Sorine M., Forced oscillations in control systems with hysteresis, Doklady Mathematics, 53, #2, 312-315 (1996)
Krasnosel'skii A., Asymptotic homogeneity of hysteresis operators, Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM) , 76, 2, 1996, 313-316

1995

Bliman P.-A., Krasnosel'skii A., Sorine M., Dither in systems with hysteresis, Res. Raport INRIA, n 2690, 1995, 1-40
Krasnosel'skii A., Sorine M., Discrete asinchronous iterations, Automation and Remote Control, 56, #11, 1557-1564 (1995)
Krasnosel'skii A., Krasnosel'skii M.A., Mawhin J., Differential inequalities in problems on forced nonlinear oscillations, Nonlinear Analysis. Theory, Methods & Applications, 25, 9-10, 1995, 1029-1036
Eirola T., Krasnosel'skii A., Krasnosel'skii M.A., Kuznetsov N.A., Nevanlinna O., Stability of systems with incomplete corrections, Nonlinear Analysis. Theory, Methods & Applications, 25, 7, 1995, 717-728
Krasnosel'skii A., Mawhin J., On some higher order boundary value problems at resonance, Nonlinear Analysis. Theory, Methods & Applications, 24, 8, 1995, 1141-1148
Krasnosel'skii A., On nonlinear resonance in systems with delays, Automation and Remote Control, 56, #2 (1995) 160-166
Krasnosel'skii A., Mawhin J., The index at infinity of some twice degenerate compact vector fields, Discrete and Continuous Dynamical Systems, 1, 2, 1995, 207-216
Eirola T., Krasnosel'skii A., Krasnosel'skii M.A., Kuznetsov N.A., Nevanlinna O., Incomplete corrections for linear systems with self-adjoint operators, Sov. Phys. Dokl., 39, #11 (1994)
Krasnosel'skii A., Nonlinear resonance in systems with hysteresis, Proc. Int. Conf. on Functional Differential Equ. and Appl., Moscow, August 1994, 49-50
Krasnosel'skii A., Asymptotics of nonlinearities and operator equations, , series "Operator Theory", 76, Basel -- Boston, Birkh"auser, 1995, 1-278

1994

Bobylev N.A., Dementieva A.M., Krasnosel'skii A., On Poincare index in problems of optimization and control, Automation and Remote Control, 55, #2, 172-177 (1994)
Krasnosel'skii A., Krasnosel'skii M.A., Mawhin J., Pokrovskii A.V., Generalized guiding functions in a problem on high frequency forced oscillations, Nonlinear Analysis. Theory, Methods & Applications, 22, 2, 1994, 1357-1372
Krasnosel'skii A., Nonresonance sectoral estimates in problems of forced oscillations in control systems, Automation and Remote Control, 55, #12, 1740-1744 (1994)

1993

Krasnosel'skii A., On algebraic number of solutions of systems with Landesman-Lazer type nonlinearities, Adv. Math. Sci. & Appl., 2, 2, 1993, 391-395
Krasnosel'skii A., On nonlinear resonance in systems with hysteresis, ``Models in Hysteresis"", ed. A.Visintin, Pitman Res. Notes in Math. Ser., 286, Longman Sci. & Tech., 1993, 71-76

1992

Appell J., Krasnosel'skii A., New theorems on asymptotic bifurcation points, Nonlinear Analysis. Theory, Methods & Applications, 18, 2, 1992, 269-276
Krasnosel'skii A., On bifurcation points of equations with Landesman-Lazer type nonlinearities, Nonlinear Analysis. Theory, Methods & Applications, 18, 12, 1992, 1187-1199
Krasnosel'skii A., Krasnosel'skii M.A., Mawhin J., On some conditions of existence of forced periodic oscillations, Differential and Integral Equations, 5, 6, 1992, 1267-1273
Krasnosel'skii A., Mawhin J., Remark on some type of bifurcation at infinity, Bull. de la Classe des Sci, Ac. Roy. de Belgique, 6e s"erie, Tome III, 12, 1992, 293-297
Krasnosel'skii A., Asymptotics of nonlinearities and operator equations, , series "Operator Theory", 76, Basel -- Boston, Birkh"auser, 1995, 1-278

1991

Krasnosel'skii A., Large-amplitude oscillations in systems with saturation, Sov. Phys. Dokl., 32, 6, 419-421 (1992)
Krasnosel'skii A., Krasnosel'skii M.A., Kuznetsov N.A., Nonlinear systems with incomplete corrections and their stability, Sov. Phys. Dokl., 36, 5, 356-357 (1992)
Krasnosel'skii A., Krasnosel'skii M.A., On some class of equations with potential operators, Note di Mat., XI, 1991, 237-245
Krasnosel'skii A., On a method of analysis of resonance problems, Nonlinear Analysis. Theory, Methods & Applications, 16, 4, 1991, 321-345
Krasnosel'skii A., On approximated methods for periodic oscillation constructing,Proceedings of simposium "Modelling, Inverse Problems and Numerical Methods", Tallinn, 1991

1990

Bobylev N.A., Chernorutskii V.V., Fomenko I., Krasnosel'skii A., M.A. Krasnosel'skii , Pokrovskii A.V., Semenov M.E., Vainikko E.G., The new results in the theory of periodic oscillation in nonlinear control systems, Proc. XI World Congr. IFAC, Tallinn, 6, 50-55 (1990)
Krasnosel'skii A., Dementieva A.M., Yumagulov M.G., On approximate construction of periodic solutions of first order nonlinear equation, Dokl. Acad. Nauk Tajik SSR, 3, 712-715 (1990) [Russian]
Krasnosel'skii A., Joint norm of operators and the study of nonlinear problems, Ukrainian Math. J., 42, 12, 1442-1452 (1990)

1989

Bobylev N.A., Krasnosel'skii A., Krasnosel'skii M.A., Pokrovskii A.V., On some new ideas in nonlinear analysis, ``Nonlinear boundary problems"", Kiev, 1, 22-26 (1989)
Dementieva A.M., Krasnosel'skii A., Yumagulov M.G., Periodic problem operator for a first order equation, Dokl. Acad. Nauk Tajik SSR, 12, 802-805 (1989) [Russian]
Bobylev N.A., Krasnosel'skii A., Krasnosel'skii M.A., Stability of periodic oscillations and the possibility of obtaining them by the method of harmonic balance, Avtomatika i telemekhanika, 5, 179-181 (1989) [Russian]

1988

Krasnosel'skii A., Conditions of applicability of Fredholm theorems in analysis of forced oscillations in nonlinear control systems, Avtomatika i telemekhanika, 3, 162-164 (1988) [Russian]

1987

Krasnosel'skii A., Directional corrections in harmonic balance method, Sov. Phys. Dokl., 32, 6, 441-443 (1988)
Krasnosel'skii A., Forced oscillations in system with hysteresis nonlinearities, Dokl. Acad. Nauk SSSR, 292, 5, 1078-1082 (1987) [Russian]
Krasnosel'skii A., Boundary problems for equations at resonance, Proc. 3d International Conf. on Diff. Equ., Ruse, Bulgaria, 1, 207-210 (1987) [Russian]
Bobylev N.A., Krasnosel'skii A., Krasnosel'skii M.A., Pokrovskii A.V., Vladimirov A., Functional analysis and dynamics of nonlinear control systems, Proc. X World congr. IFAC, Munich, Germany, 112-117 (1987). Selected Papers from 10th Triennal World Congress of the IFAC-1987, Munich, West Germany. Oxford, UK: Pergamon, 8, 11-15 (1988)
Dementieva A.M., Grachev N.I., Krasnosel'skii A., Petrov D.I., Remarks on harmonic balance method in problem of forced oscillations in multilinked systems, ``Heterogeneous system dynamics"", Moscow, Inst. for System Study, 6, 68-71 (1987) [Russian]

1986

Krasnosel'skii A., On some class of linear links with rational fractional transfer functions, Avtomatika i telemekhanika, 11, 166-170 (1986) [Russian]
Krasnosel'skii A., New theorems on forced periodic oscillations in nonlinear control systems, Appl. Math. & Mech., 50, 2, 165-170 (1987)
Bobylev N.A., Boltyanskii V.G., Vsehsvyatskii S.Yu., Kalashnikov V.V., Kozyakin V., Kolmanovskii V.B., Krasnosel'skii A., Pokrovskii A.V., Mathematical systems theory, Moscow, Nauka, 1986, 166 pp. (in Russian)

1985

Krasnosel'skii A., On stability of desynchronized multicomponent systems, Avtomatika i telemekhanika, 11, 170-171 (1985) [Russian]
Krasnosel'skii A., One-side estimates in problems on forced periodic oscillations in multicontour systems, ``Heterogeneous system dynamics"", Moscow, Inst. for System Study, 27-32 (1985) [Russian]
Dementieva A.M., Krasnosel'skii A., On approximate solutions of some class of linear systems, ``Heterogeneous system dynamics"", Moscow, Inst. for System Study, 146-148 (1985) [Russian]
Krasnosel'skii A., Nonlocal theorems on forced oscillations in control systems, Proc. X International conf. on nonlinear oscillation (ICNO), Varna-Sofia, Bulg. Acad. Nauk, Bulgaria, 340-343 (1985) [Russian]
Krasnosel'skii A., One-side estimates in the problem of forced oscillations in nonlinear control systems, Soviet Math. Dokl., 32, 1, 74-77 (1985)
Krasnosel'skii A., Krasnosel'skii M.A., Large-amplitude cycles in autonomous systems with hysteresis, Soviet Math. Dokl., 32, 1, 14-17 (1985)
Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Markovskaya T., Ruda M., Sobolev A., Romanov M.Yu., System engineering of automatic diagnostics of infringements of heart rhythm in real time scale. Reports of the National Cardiology Research Center of Academy of Medical Sciences of the USSR, VNTICentr, 81024272 (1985), 123 p. (in Russian).

1984

Krasnosel'skii A., Krasnosel'skii M.A., Pokovskii A.V., On application of guiding potential method to systems with hysteresis, ``Heterogeneous system dynamics"", Moscow, Inst. for System Study, 162-167 (1984) [Russian]
Krasnosel'skii A., On periodic regimes in systems, described by equations of second order with delay, ``Heterogeneous system dynamics"", Moscow, Inst. for System Study, 156-162 (1984) [Russian]
Krasnosel'skii A., Petrov D.I., On periodic oscillations in regulation systems with delays, Avtomatika i telemekhanika, 6, 169-171 (1984) [Russian]
Krasnosel'skii A., Forced periodic oscillations in nonlinear systems, Soviet Phys. Dokl., 29, 6, 438-440 (1984)
Krasnosel'skii A., On problem on forced oscillations in nonlinear control systems, Engnrg Cybernetics, 22, 5, 92-99 (1984)

1983

Krasnosel'skii A., Yumagulov M.G., Bifurcation values of parameters in problem on forced oscillations in automated regulation systems, Dokl. Acad. Nauk Tajik SSR, 11, 679-682 (1983) [Russian]
Krasnosel'skii A., Forced periodic oscillations in complex nonlinear system, Automation and Remote Control, 44, 10, 1301-1306 (1984)

1982

Blank M., Kozyakin V., Krasnosel'skii A., Markovskaya T., Merkulova I., Ruda M., Sobolev A., Automatic tracking of cardiac rhythm. Theses of the reports of the 1st Soviet-Finnish Symposium on use the minicomputers and microprocessors in medicine, Finland, Helsinki (1982), 1 p.
Krasnoselskii M., Kozyakin V., Krasnosel'skii A., Pokrovski A., About dynamics of control systems with many nonlinearities. The Differential Equations and Applications (I), Proceedings of the 2nd Conference Russe"81, Bulgaria, Russe (1982), 366-376 (in Russian).

1981

Krasnosel'skii A., Frequency criteria and harmonic linearisation method, Ph. D.
Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Ruda M., Sobolev A., About automation of monitor tracking of ills by cardiac rhythm. Theory and practice of automation electrocardiological and clinical researches, Theses of the 2nd All-Union Conference, Kaunas (1981), 1 p. (in Russian).

1980

Krasnosel'skii A., Special esimates of solutions of differential equations, In "Qualitative and approximative methods of operator equation analysis", Yaroslavl State Unuversity, Yaroslavl,, 1980, 86-89
Krasnosel'skii A., Frequency principles in the problems on forced periodic oscillations and harmonic linearisation method, Proceedings of the 8-th All-Union workshop on control theory problems, 1, Tallinn, 1980, 21-23
Krasnosel'skii A., Frequency criteria in the problem on forced oscillations in control systems, Automation and Remote Control, 41, 9, 1203-1209 (1981)
Krasnosel'skii A., New a priori estimates of two-point boundary problem solutions and its applications, Sibirskii Math. Journal, 21, 1, 115-124 (1980) [Russian]
Blank M., Gukovskii D., Kozyakin V., Krasnosel'skii A., Markovskaya T., Sobolev A., Experimental system of the automatic analysis of cardiac rhythm. Reports of the National Cardiology Research Center of Academy of Medical Sciences of the USSR, 2 (1980), 81-84 (in Russian).

1979

Agaronyan O., Blank M., Gukovskii D., Davidenko A., Kozyakin V., Krasnosel'skii A., Markovskaya T., Merkulova I., Ruda M., Sobolev A., A system of the automated analysis of rhythm diseases by a monitor lead of ECG in intensive care units. 3-rd All-Union congress of cardiologists, Theses of the reports, Moscow (1979), 1 p. (in Russian).

1978

Krasnosel'skii A., A priori estimates of the norms of solutions of scalar inequalities, Soviet Math. Dokl., 19, 6, 1481-1485 (1978)

1977

Krasnosel'skii A., Integral curve convexity criterion, "Differential equations", Interuniversity collection of papers, Kuibyshev (now Samara), 1977, 54-57 [Russian]
Krasnosel'skii A., Remarks on fixed points of monotonous operators, Uspekhi Mat. Nauk, 32, 6, 257-258 (1977) [Russian]