Some papers joint with A.M. Krasnosel'skii

1. Krasnosel'skii A.M., Rachinskii D.I.
   Hopf bifurcations at infinity, generated by bounded nonlinear terms.
   Functional Differential Equations, 6, #3-4, 1999, 357-374
   Text: PostScript
2. Krasnosel'skii A., Mennicken R., Rachinskii D.
   Hopf bifurcation generated by small nonlinear terms.
   Z. Angew. Math. Mech. 80, 2000, S2, 289-290 Text: PostScript
3. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
   Small periodic solutions generated by sublinear terms.
   Prepublication: National University of Ireland, University College, Cork, report 99-009, October 1999, 1 - 30
   Text: PostScript.zip
   Journal of Differential Equations, to appear
4. Krasnosel'skii A.M., Rachinskii D.I.
   Hamiltonian Lurie systems.
   Avtomatika i telemekhanika [Russian], 8, 2000, 23-27
   Text in Russian: PostScript.zip
5. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
   Nonlinear Hopf bifurcations.
   Russian Doklady [Russian], 373, 4, 2000, 455-458
   Text in Russian: PostScript.zip
6. Krasnosel'skii A.M., Kuznetsov N.A., Rachinskii D.I.
   On resonant equations with unbounded nonlinearities.
   Russian Doklady [Russian], 373, 3, 2000, 295-299
   Text in Russian: PostScript.zip
7. Krasnosel'skii A.M., Rachinskii D.I.
   Existence of cycle continua in Hamiltonian control systems.
   Automation and Remote Control, 62, 2, 227-235 (2001)
   Text in Russian (Avtomatika i telemekhanika, 2, 2001, 65-74): PostScript.zip
   Prepublication in English: National University of Ireland, University College, Cork, report 00-001, March 2000, 1 - 13
   Text: PostScript.zip
8. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
   Sector estimates of nonlinearities and self-oscillation existence in control systems.
   Avtomatika i telemekhanika, 6, 2000, 3 - 18 [Russian]
   Text in Russian: PostScript.zip
   Prepublication in English: National University of Ireland, University College, Cork, report 00-002, March 2000, 1 - 20
   Text: PostScript.zip
9. Krasnosel'skii A.M., Rachinskii D.I.
   On continua of cycles in systems with hysteresis
   Russian Doklady [Russian], 2001, 378, 3
   Text in Russian: PostScript.zip
10. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles for quasilinear ODE of higher order
    Surveys of RAEN, 5, 1-2, 2001, 143-151
    Text: PostScript.zip
11. Bliman P.-A., Krasnosel'skii A.M., Rachinskii D.I.
    On strong resonanses for Hopf bifurcations in control systems.
    Avtomatika i telemekhanika, 11, 2001, 29-50
    Text in Russian: PostScript.zip
    
12. Krasnosel'skii A.M., Rachinskii D.I.
    On a bifurcation governed by hysteresis nonlinearity.
    Nonlinear Differential Equations and Applications, 9, 2002, 93-115
    Text: PostScript.zip
13. Krasnosel'skii A.M., Mennicken R., Rachinskii D.I.
    Cycle stability for Hopf bifurcation, generated by sublinear terms.
    Mathematische Nachrichten, 235, 171-195, 2002
    Text: PostScript.zip
14. Krasnosel'skii A.M., Kusnetsov N.A., Rachinskii D.I.
    On resonant differential equations with unbounded nonlinearities.
    Journal for Analysis and Applications, 21, 3, 2002, 639-668
    Text: PostScript.zip
15. Krasnosel'skii A.M., Rachinskii D.I., Schneider K.
    Hopf bifurcations in resonans 2:1.
    Nonlinear Analysis, Theory, Methods & Applications, 2003, 52, 3, 943-960
    Text: PostScript.zip
    
16. Krasnosel'skii A.M., Rachinskii D.I.
    On a non-local criterion of existence of cycles in systems with hysteresis.
    Automation and Remote Control, 2, 2003, 66-88
    Text: Russian PostScript.zip
    
17. Krasnosel'skii A.M., Rachinskii D.I.
    On existence of cycles in autonomous systems.
    Doklady Mathematics, 384, 2, 2002, 161-166
    Text: Russian PostScript.zip
    
18. Krasnosel'skii A.M., Rachinskii D.I.
    On continual branches of cycles in systems with nonlinearizable nonlinearities.
    Doklady Mathematics, 389, 1, 11-16, 2003
    Text: Russian PostScript.zip
    
19. Krasnosel'skii A.M., Rachinskii D.I.
    Nonlocal theorems on Hopf bifurcations.
    Abstracts for Kolmogorov Conference, Moscow, 2003, 67-68
    Text: PostScript.zip
    
20. Krasnosel'skii A.M., Rachinskii D.I.
    On continuous branches of twice periodic solutions of some PDE.
    Functional Differential Equations, 10, 1-2, 2003, 291-301
    Text: PostScript.zip
    
21. Krasnosel'skii A.M., Rachinskii D.I.
    Remark on Hopf Bifurcation Theorem.
    Mathematische Nachrichten, to appear
    Text: PostScript.zip
    
22. Krasnosel'skii A.M., Rachinskii D.I.
    On global branches of cycles and Hopf byfurcations.
    Proceedings of the conference "Modern problems on functional analysis and differential equations", Voronezh, 2003, 159-161
    Text in Russian: PostScript.zip
    
23. Krasnosel'skii A.M., Rachinskii D.I.
    On a number of branches of periodic solutions.
    Proceedings of Equadiff-2003
    Text: PDF.zip,
24. Krasnosel'skii A.M., Rachinskii D.I.
    Continuous branches of cycles for equations of higher order.
    Differential Equations, 12, 2003
    Text: Russian PostScript.zip, English PostScript.zip
    
25. Krasnosel'skii A.M., Rachinskii D.I.
    Solution branching at infinity for equations with degeneration of multiplicity 2.
    Doklady Mathematics, 394, 4, 2004
    Text in Russian: PostScript.zip
    
26. Krasnosel'skii A.M., Pokrovskii A.V., Rachinskii D.I.
    On guaranteed estimates of iteration procedure convergence rate.
    Automation and Remote Control
    Text in Russian: PostScript.zip
    

    Last rev. 08/11/2003