Posts by Radu Precup

Abstract


This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions. In addition an existence theorem for periodic solutions of such inclusions is established. This work which complements the abstract nonlinear averaging principle worked out in Couchouron and Kamenski (Nonlin. Anal. 42 (2000) 1101) makes a synthesis of the methods contained in Couchouron and Kamenski and Couchouron and Precup (Electron. J. Differential, Equations 4 (2002) 1) and represents a (nonvariational) topological approach for boundary values problems.

Authors

Jean-Francois Couchourn
Université de Metz, Mathématiques INRIA Lorraine, Ile du Saulcy, 57045 Metz, France

Mihail Kamenski
University of Voronezh, Faculty of Mathematics, 394693 Voronezh, Russia

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Periodic solution; Averaging principle; Evolution equation; Dissipative operator, Multivalued mapping, Acyclic set, Fredholm inclusion; Fixed point

Paper coordinates

J.-F. Couchouron, M. Kamenski, R. Precup,  A nonlinear periodic averanging principle,  Nonlinear Anal. 54 (2003), 1439-1467, https://doi.org/10.1016/S0362-546X(03)00196-2

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About this paper

Journal

Nonlinear Analysis Theory Methods&Applications

Publisher Name

Elsevier

Print ISSN
Online ISSN

MR 1997229, Zbl 1034.34074.

google scholar link

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