Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions

Advances in Difference Equations

Thanin Sitthiwirattham¹  Nichaphat Patanarapeelert³  Umaphon Sriphanomwan³  Jessada Tariboon⁴  Sotiris K Ntouyas⁴ 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

关键词: Hahn difference equations;    boundary value problems;    existence;    uniqueness;    fixed point theorems;    39A10;    39A13;    39A70;   

DOI  :  10.1186/s13662-017-1228-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness of solutions is obtained by using the Banach fixed point theorem, and the existence of at least one solution is established by using the Leray-Schauder nonlinear alternative and Krasnoselskii’s fixed point theorem. Illustrative examples are also presented to show the applicability of our results.

【 授权许可】

CC BY