Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities | Zendy

Naima Daoudi-Merzagui | Zendy; F. Derrab | Zendy; Abdelkader Boucherif | Zendy

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Subharmonic Solutions of Nonautonomous Second Order Differential Equations with Singular Nonlinearities

Author(s) -

Naima Daoudi-Merzagui,

F. Derrab,

Abdelkader Boucherif

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/903281

Subject(s) - subharmonic , mathematics , saddle point , mathematical analysis , order (exchange) , simple (philosophy) , saddle , differential equation , singular point of a curve , nonlinear system , mathematical optimization , geometry , philosophy , physics , finance , epistemology , quantum mechanics , economics

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

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