Dr. Dmitrii I. Rachinskii

Profile

Academic position	Lecturer, Assistant Professor, Researcher
Research fields	General and overarching topics in Mathematics; collections
Keywords	hysteresis operator , bifurcation, monotone operator, degree theory, periodic solution

Current contact address

Country	United States of America
City	Richardson
Institution	University of Texas at Dallas
Institute	Department of Mathematical Sciences

Host during sponsorship

Prof. Dr. Reinhard Mennicken	Naturwissenschaftliche Fakultät I - Mathematik, Universität Regensburg, Regensburg
Prof. Dr. Martin Brokate	Fakultät für Mathematik / Zentrum Mathematik, Technische Universität München, Garching
Start of initial sponsorship	01/11/1998

Programme(s)

1998	Humboldt Research Fellowship Programme

Publications (partial selection)

2003	Alexander Krasnosel'skii, Dmitrii Rachinskii, Klaus Schneider: Hopf bifurcation in resonance 2:1. In: Nonlinear Anal., 2003, 943-960
2002	Dmitrii I. Rachinskii, A. Krasnosel'skii, R. Mennicken: Cycle stability for Hopf bifurcation generated by sublinear terms . In: Mathematische Nachrichten, 2002, 171-195
2002	Alexander Krasnosel'skii, Dmitrii Rachinskii: On a bifurcation governed by hysteresis nonlinearity. In: NoDEA Nonlinear Differential Equations Appl, 2002, 93-115
2002	Alexander Krasnosel'skii, Nikolai Kuznetsov, Dmitrii Rachinskii: On resonant differential equations with unbounded nonlinearities. In: Z. Anal. Anwendungen, 2002, 639-668
2002	Alexander Krasnosel'skii, Reinhard Mennicken, Dmitrii Rachinskii: Small periodic solutions generated by sublinear terms. In: J. Differential Equations, 2002, 97-132
2001	Dmitrii I. Rachinskii, A. M. Krasnosel'skii: Existence of continua of cycles in Hamiltonian control systems. In: Automat. i Telemekh., 2001, 65-74
2001	Dmitrii I. Rachinskii: Iteration procedures of shuttle iteration type in continuous nonmonotone problems. In: Z. Anal. Anwend., 2001, 1031-1054
2001	Alexander Krasnosel'skii, Dmitrii Rachinskii: On continua of cycles in systems with hysteresis. In: Dokl. Math., 2001, 339-344
2001	Reinhard Mennicken, Dmitrii Rachinskii: On the existence of positive solutions for nonlinear two-point boundary-value problems. In: J. Inequal. Appl, 2001, 599-624
2001	Dmitrii I. Rachinskii, N. A. Kuznetsov, N. A. Mennicken: The method of potential bounds in periodic nonpotential problems for control systems. In: Math. Nachr., 2001, 93-121
2000	Alexander Krasnosel'skii, Reinhard Mennicken, Dmitrii Rachinskii: Hopf bifurcation generated by small nonlinear terms. In: Z. Angew. Math. Mech, 2000, 289-290
1999	A.M. Krasnosel'skii, D.I. Rachinskii: Hopf bifurcation at infinity, generated by bounded nonlinear terms.. In: Funct. Differ. Equ., 1999, 357-374