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