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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