Dr. Dmitrii I. Rachinskii

Profil

Derzeitige Stellung	Professor W-1 und Äquivalente
Fachgebiet	Mathematik Allgemein und übergreifende Themen; Sammlungen
Keywords	hysteresis operator , bifurcation, monotone operator, degree theory, periodic solution

Aktuelle Kontaktadresse

Land	USA
Ort	Richardson
Universität/Institution	University of Texas at Dallas
Institut/Abteilung	Department of Mathematical Sciences

Gastgeber*innen während der Förderung

Prof. Dr. Reinhard Mennicken	Naturwissenschaftliche Fakultät I - Mathematik, Universität Regensburg, Regensburg
Prof. Dr. Martin Brokate	Fakultät für Mathematik / Zentrum Mathematik, Technische Universität München, Garching
Beginn der ersten Förderung	01.11.1998

Programm(e)

1998	Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

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