A nonlinear periodic averaging principle

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• 作者：Couchouron ; Jean-Franç ; ois ; Kamenski ; Mikhail ; Precup ; Radu
• 关键词：47J35 ; 47H04 ; 45N05 ; Periodic solution ; Averaging principle ; Evolution equation ; Dissipative operator ; Multivalued mapping ; Acyclic set ; Fredholm inclusion ; Fixed point
• 刊名：Nonlinear Analysis
• 出版年：2003
• 出版时间：September, 2003
• 年：2003
• 卷：54
• 期：8
• 页码：1439-1467
• 全文大小：276 K

文摘

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.