Impulsive quantum difference systems with boundary conditions

Advances in Difference Equations

Phollakrit Thiramanus¹  Jessada Tariboon³  Sotiris K Ntouyas⁴ 

[1] Department of Mathematics, University of Ioannina, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;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: quantum calculus;    impulsive quantum difference equation;    existence;    uniqueness;    fixed point theorems;    26A33;    39A13;    34A37;   

DOI  :  10.1186/s13662-015-0506-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article studies the existence and uniqueness of solutions for coupled systems of nonlinear impulsive quantum difference equations with coupled and uncoupled boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.

【 授权许可】

CC BY