Abstract

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.

Highlights

  • 1 Introduction and preliminaries In this paper, we concentrate on the study of the existence and uniqueness of solutions for a coupled system of nonlinear impulsive quantum difference equations

  • In this paper we prove existence and uniqueness results for the impulsive boundary value problem ( . ) by using Banach’s contraction mapping principle and Leray-Schauder’s nonlinear alternative

  • The rest of this paper is organized as follows: In Section we present an auxiliary lemma which is used to convert the impulsive boundary value problem ( . )

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Summary

Introduction

In this paper we prove existence and uniqueness results for the impulsive boundary value problem

Results
Conclusion
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