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Rachinskii, Dmitrii Igorevich
Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 25

Number of views:
This page:693
Abstract pages:5499
Full texts:2097
References:391
Doctor of physico-mathematical sciences (1997)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 01.03.1969
E-mail: ,
Keywords: nonlinear analysis, systems with hysteresis, periodic solutions of differential equations, Hopf bifurcation, fixed point principles, monotone operators.
   
Main publications:
  • Krasnosel'skii M. A., Mennicken R., Rachinskii D. I. Potential bounds in problems on quasilinear elliptic equations // Math. Nachr., 1999, 207, 133–155.
  • Rachinskii D. I. Asymptotic stability of large-amplitude oscillations in systems with hysteresis // NoDEA Nonlinear Differential Equations Appl., 1999, 6(3), 267–288.

https://www.mathnet.ru/eng/person17844
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/319505

Publications in Math-Net.Ru Citations
2013
1. Pavel Gurevich, Dmitrii Rachinskii, “Well-posedness of parabolic equations containing hysteresis with diffusive thresholds”, Trudy Mat. Inst. Steklova, 283 (2013),  92–114  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 283 (2013), 87–109  isi 5
2008
2. A. M. Krasnosel'skii, D. I. Rachinskii, “Criteria of resonance origin in a single-circuit control system with saturation”, Avtomat. i Telemekh., 2008, no. 8,  33–47  mathnet  mathscinet  zmath; Autom. Remote Control, 69:8 (2008), 1297–1310  isi  scopus
2005
3. A. M. Krasnosel'skii, D. I. Rachinskii, “On the Number of Unbounded Solution Branches in a Neighborhood of an Asymptotic Bifurcation Point”, Funktsional. Anal. i Prilozhen., 39:3 (2005),  37–53  mathnet  mathscinet  zmath; Funct. Anal. Appl., 39:3 (2005), 194–206  isi  scopus 5
2004
4. D. I. Rachinskii, “On bifurcation of large-amplitude stable cycles for equations with hysteresis”, Avtomat. i Telemekh., 2004, no. 12,  62–84  mathnet  mathscinet  zmath; Autom. Remote Control, 65:12 (2004), 1915–1937  isi  scopus 1
5. A. M. Krasnosel'skii, A. V. Pokrovskii, D. I. Rachinskii, “Guaranteed convergence rate estimates for a class of iterative procedures: their comparison”, Avtomat. i Telemekh., 2004, no. 10,  128–133  mathnet  mathscinet  zmath; Autom. Remote Control, 65:10 (2004), 1635–1640  isi  scopus 1
2003
6. D. I. Rachinskii, “On Natural Continua of Periodic Solutions of the Systems with Hysteresis”, Avtomat. i Telemekh., 2003, no. 3,  84–103  mathnet  mathscinet  zmath; Autom. Remote Control, 64:3 (2003), 420–438  isi  scopus 3
7. A. M. Krasnosel'skii, D. I. Rachinskii, “On a Nonlocal Condition for Existence of Cycles of Hysteresis Systems”, Avtomat. i Telemekh., 2003, no. 2,  66–87  mathnet  mathscinet  zmath; Autom. Remote Control, 64:2 (2003), 231–251  isi  scopus 3
8. A. M. Krasnosel'skii, D. I. Rachinskii, “Continua of Cycles of Higher-Order Equations”, Differ. Uravn., 39:12 (2003),  1605–1616  mathnet  mathscinet; Differ. Equ., 39:12 (2003), 1690–1702 4
2001
9. P.-A. Bliman, A. M. Krasnosel'skii, D. I. Rachinskii, “On Strong Resonance under Bifurcations in Control Systems”, Avtomat. i Telemekh., 2001, no. 11,  29–50  mathnet  mathscinet  zmath; Autom. Remote Control, 62:11 (2001), 1783–1802  isi  scopus
10. A. M. Krasnosel'skii, D. I. Rachinskii, “Existence of Continua of Cycles in Hamiltonian Control Systems”, Avtomat. i Telemekh., 2001, no. 2,  65–74  mathnet  mathscinet  zmath; Autom. Remote Control, 62:2 (2001), 227–235  isi  scopus 5
2000
11. A. M. Krasnosel'skiĭ, D. I. Rachinskiĭ, “On the Hamiltonicity of Lur'e systems”, Avtomat. i Telemekh., 2000, no. 8,  25–29  mathnet  mathscinet  zmath; Autom. Remote Control, 61:8 (2000), 1259–1262 3
12. P. A. Bliman, A. M. Krasnosel'skiĭ, D. I. Rachinskiĭ, “Sector estimates for nonlinearities and the existence of auto-oscillations in control systems”, Avtomat. i Telemekh., 2000, no. 6,  3–18  mathnet  mathscinet  zmath; Autom. Remote Control, 61:6 (2000), 889–903 6
1998
13. D. I. Rachinskiĭ, “Equivalent combinations of supports”, Avtomat. i Telemekh., 1998, no. 10,  24–34  mathnet  mathscinet  zmath; Autom. Remote Control, 59:10 (1998), 1370–1378 3
1997
14. M. A. Krasnosel'skii, N. A. Kuznetsov, R. Mertz, D. I. Rachinskii, “Iterative Procedures with Incomplete Corrections and Solution of Nonlinear Equations”, Avtomat. i Telemekh., 1997, no. 8,  46–56  mathnet  mathscinet  zmath; Autom. Remote Control, 58:8 (1997), 1285–1293 1
15. D. I. Rachinskii, “On the Cauchy problem for differential equations with Mroz hysteresis nonlinearity”, Differ. Uravn., 33:8 (1997),  1041–1048  mathnet  mathscinet; Differ. Equ., 33:8 (1997), 1047–1054
1996
16. M. A. Krasnosel'skii, N. A. Kuznetsov, D. I. Rachinskii, “Nonlinear Potential Systems with Incomplete Corrections”, Avtomat. i Telemekh., 1996, no. 7,  11–17  mathnet  mathscinet  zmath; Autom. Remote Control, 57:7 (1996), 918–924
1995
17. D. I. Rachinskii, “Forced oscillations in control systems under near-resonance conditions”, Avtomat. i Telemekh., 1995, no. 11,  87–98  mathnet  mathscinet  zmath; Autom. Remote Control, 56:11 (1995), 1575–1584 4
1994
18. M. A. Krasnosel'skiĭ, D. I. Rachinskiĭ, “Invariant convex classes of states of continual relay systems”, Avtomat. i Telemekh., 1994, no. 10,  17–26  mathnet  mathscinet  zmath; Autom. Remote Control, 55:10 (1994), 1405–1412 1
19. M. A. Krasnosel'skiĭ, A. V. Pokrovskiĭ, D. I. Rachinskii, I. D. Mayergoyz, “Operators of hysteresis nonlinearities generated by continual relay systems”, Avtomat. i Telemekh., 1994, no. 7,  49–60  mathnet  mathscinet; Autom. Remote Control, 55:7 (1994), 964–973
20. D. I. Rachinskii, “Transition to normal states in general continual relay systems”, Dokl. Akad. Nauk, 338:4 (1994),  457–460  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 287–291
1993
21. M. A. Krasnosel'skii, I. D. Mayergoyz, A. V. Pokrovskii, D. I. Rachinskii, “Differential equations with hysteresis nonlinearities of vector relay systems type”, Dokl. Akad. Nauk, 331:4 (1993),  398–400  mathnet  mathscinet  zmath; Dokl. Math., 48:1 (1994), 105–109
22. M. A. Krasnosel'skii, D. I. Rachinskii, “Normal states of vector relay systems”, Dokl. Akad. Nauk, 330:5 (1993),  556–558  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 577–580
23. M. A. Krasnosel'skii, I. D. Mayergoyz, A. V. Pokrovskii, D. I. Rachinskii, “Variable states of continual relay systems”, Dokl. Akad. Nauk, 330:4 (1993),  427–429  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 513–517
1992
24. A. V. Pokrovskiĭ, D. I. Rachinskiĭ, “Nonexistence of weakly improving monotone shifts in semi-ordered sets with nontrivial topological struc”, Avtomat. i Telemekh., 1992, no. 12,  155–158  mathnet  mathscinet  zmath; Autom. Remote Control, 53:12 (1992), 1957–1959
1991
25. D. I. Rachinskiĭ, “Singular points of point mappings”, Avtomat. i Telemekh., 1991, no. 12,  158–161  mathnet  mathscinet; Autom. Remote Control, 52:12 (1991), 1769–1771
1998
26. E. A. Asarin, I. A. Bakhtin, N. A. Bobylev, V. A. Bondarenko, V. Sh. Burd, E. A. Gorin, S. V. Emel'yanov, P. P. Zabreiko, L. A. Ivanov, V. S. Kozyakin, A. M. Krasnosel'skii, N. A. Kuznetsov, A. B. Kurzhanskii, A. Yu. Levin, È. M. Muhamadiev, A. I. Perov, Yu. V. Pokornyi, A. V. Pokrovskii, D. I. Rachinskii, V. V. Strygin, Ya. Z. Tsypkin, V. V. Chernorutski, “Memory of M. A. Krasnosel'skii”, Avtomat. i Telemekh., 1998, no. 2,  179–184  mathnet

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