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IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS

Part of: Boundary value problems

Published online by Cambridge University Press:  16 February 2012

JUNTAO SUN  and
DONAL O’REGAN
JUNTAO SUN*
Affiliation:
School of Science, Shandong University of Technology, Zibo, 255049 Shandong, China (email: [email protected])
DONAL O’REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

Keywords

Periodic solutionsimpulsesingular problemsvariational methodsmountain pass theorem

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 193 - 204
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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