Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 115, pp. 1-12.

Title: Existence and multiplicity of homoclinic solutions for a difference equation
       
Authors: Shapour Heidarkhani (Razi Univ., Kermanshah, Iran)
         Fariba Gharehgazlouei (Razi Univ., Kermanshah, Iran)
         Maurizio Imbesi (Univ. of Messina, Messina, Italy)

Abstract:
  The aim of this article is to obtain  homoclinic solutions for a
 discrete problem involving p-Laplacian.
 We prove the existence of at least one, two and three solutions for 
 the problem.  Our approach is based on variational methods.
 
Submitted January 14, 2020. Published November 23, 2020.
Math Subject Classifications: 39A10, 47J30, 35B38.
Key Words: Difference equations; discrete p-Laplacian; variational methods.