Existence of three solutions for difference equations through variational methods

Document Type : Original Paper


Department of Mathematics, Razi University, Kermanshah, Iran


This paper is devoted to the study of the multiplicity results of solutions for a class of difference equations. Indeed, we will use variational methods for smooth functionals, defined on the reflexive Banach spaces in order to achieve the existence of at least three solutions for the equations. Moreover, assuming that the nonlinear terms are non-negative, we will prove that the solutions are non-negative. Finally, by presenting one example, we will ensure the applicability of our results.


Main Subjects

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