Ghasem A. Afrouzi, Armin Hadjian
Abstract:
In this article, we use a critical point theorem (local minimum result) for
differentiable functionals to prove the existence of at least one nontrivial
solution for a nonlinear algebraic system with a parameter.
Our goal is achieved by requiring an appropriate asymptotic behavior of
the nonlinear term at zero. Some applications to discrete equations are
also presented.
Submitted April 23, 2016. Published December 10, 2016.
Math Subject Classifications: 39A10, 34B15.
Key Words: Discrete nonlinear boundary value problems; existence;
difference equations; critical points theory.
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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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Armin Hadjian Department of Mathematics Faculty of Basic Sciences University of Bojnord P.O. Box 1339, Bojnord 94531, Iran email: hadjian83@gmail.com, a.hadjian@@ub.ac.ir |
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