Electron. J. Diff. Equ., Vol. 2014 (2014), No. 147, pp. 1-11.

Existence of solutions to Dirichlet impulsive differential equations through a local minimization principle

Ghasem A. Afrouzi, Saeid Shokooh, Armin Hadjian

Abstract:
A critical point theorem (local minimum result) for differentiable functionals is used for proving that a Dirichlet impulsive differential equation admits at least one non-trivial solution. Some particular cases and a concrete example are also presented.

Submitted January 20, 2014. Published June 24, 2014.
Math Subject Classifications: 34B37, 34B15, 58E05.
Key Words: Impulsive differential equations; Dirichlet condition; classical solution; variational methods.

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Ghasem A. Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
Saeid Shokooh
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: saeid.shokooh@stu.umz.ac.ir
Armin Hadjian
Department of Mathematics, Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: a.hadjian@umz.ac.ir

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