Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities

We discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. Our approach is based on a variational method, in partic...

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Bibliographic Details
Main Authors: N. Daoudi-Merzagui, F. Derrab, A. Boucherif
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/903281
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Summary:We discuss the existence of subharmonic solutions for nonautonomous second order differential equations with singular nonlinearities. Simple sufficient conditions are provided enable us to obtain infinitely many distinct subharmonic solutions. Our approach is based on a variational method, in particular the saddle point theorem.
ISSN:1085-3375
1687-0409