A variational approach to difference equations. Issue 12 (1st December 2016)

• Record Type: Journal Article
• Authors: Heidarkhani, Shapour; Afrouzi, Ghasem A.; Caristi, Giuseppe; Henderson, Johnny; Moradi, Shahin
• Is Part Of: Journal of difference equations and applications. Volume 22:Issue 12(2016)
• Page Start: 1761
• Page End: 1776
• Publication Date: 2016-12-01
• Subjects: Nonlinear difference equations -- discrete boundary value problem -- existence result -- variational methods -- Lipschitz condition; 39A05 -- 34B15; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2016.1243671
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : In this paper, we are concerned with the existence of at least three distinct solutions for nonlinear difference equations with Dirichlet boundary conditions. The proof of the main result is based on variational methods. We also provide an example in order to illustrate the main results.