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A nonlinear periodic averaging principle

✍ Scribed by Jean-François Couchouron; Mikhail Kamenski; Radu Precup

Book ID
104330608
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
276 KB
Volume
54
Category
Article
ISSN
0362-546X

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✦ Synopsis

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. Di erential, Equations 4 (2002) 1) and represents a (nonvariational) topological approach for boundary values problems.

📜 SIMILAR VOLUMES

Averaging for some periodic and random n
Averaging for some periodic and random nonlinear Schrödinger models
✍ J. Feng; P.G. Kevrekidis 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 332 KB

In the present communication, we derive averaging equations for nonlinear Schrödinger settings with periodic as well as ergodic random potentials. Our case examples are motivated by recent experimentally accessible applications in soft-condensed matter, as well as in optical physics. Particular feat