Existence of solutions for nonlinear impulsive qk-difference equations with first-order qk-derivatives

被引：1

作者：

Yu, Changlong ^{[1
]}

Wang, Jufang ^{[1
]}

Guo, Yanping ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

关键词：

q(k)-derivative; q(k)-integral; impulsive q(k)-difference equation; boundary value problem; fixed point theorem; Q-DIFFERENCE EQUATIONS;

D O I：

10.22436/jnsa.009.05.58

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonlinear second-order impulsive q(k)-difference equations with Sturm-Liouville type, in which nonlinear team and impulsive teams are dependent on first-order q(k)-derivatives. We obtain the existence and uniqueness results of solutions for the problem by Banach's contraction mapping principle and Schaefer's fixed point theorems. Finally, we give two examples to demonstrate the use of the main results. (C) 2016 All rights reserved.

引用

页码：2615 / 2630

页数：16

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