Electron. J. Diff. Equ., Vol. 2013 (2013), No. 97, pp. 1-13.

Existence of infinitely many anti-periodic solutions for second-order impulsive differential inclusions

Shapour Heidarkhani, Ghasem A. Afrouzi, Armin Hadjian, Johnny Henderson

Abstract:
In this article, we establish the existence of infinitely many anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters. The technical approach is mainly based on a critical point theorem for non-smooth functionals.

Submitted January 29, 2013. Published April 16, 2013.
Math Subject Classifications: 58E05, 49J52, 34A60.
Key Words: Differential inclusions; impulsive; anti-periodic solution; non-smooth critical point theory.

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Shapour Heidarkhani
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran.
School of Mathematics, Institute for Research in Fundamental Sciences (IPM)
P.O. Box: 19395-5746, Tehran, Iran
email: s.heidarkhani@razi.ac.ir
Ghasem A. Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Armin Hadjian
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: a.hadjian@umz.ac.ir
Johnny Henderson
Department of Mathematics, Baylor University
Waco, TX 76798-7328, USA
email: Johnny_Henderson@baylor.edu

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