Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation-Reference-Cited by-同舟云学术

Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation

Published:2019-03-26 Issue:3-4 Volume:20 Page:433-439
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Bohner Martin¹,Caristi Giuseppe²,Heidarkhani Shapour³,Moradi Shahin³

Affiliation:

1. Department of Mathematics and Statistics , Missouri S&T , Rolla , MO 65409-0020 , USA

2. Department of Economics , University of Messina , 98122 Messina , Italy

3. Department of Mathematics , Razi University , 67149 Kermanshah , Iran

Abstract

Abstract This paper presents sufficient conditions for the existence of at least one homoclinic solution for a nonlinear second-order difference equation with p-Laplacian. Our technical approach is based on variational methods. An example is offered to demonstrate the applicability of our main results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modelling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2018-0223/pdf

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