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

共 50 条

[31] Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales
Guan, Wen
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[32] Extremal Solutions for Nonlinear First-Order Impulsive Integro-Differential Dynamic Equations
L. Zhang
Y. F. Xing
Mathematical Notes, 2019, 105 : 123 - 131
[33] Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales
Wen Guan
Advances in Difference Equations, 2015
[34] POSITIVE PERIODIC SOLUTIONS OF NONLINEAR FIRST-ORDER FUNCTIONAL DIFFERENCE EQUATIONS WITH A PARAMETER
Lu, Yanqiong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[35] EXISTENCE OF SOLUTIONS FOR FIRST-ORDER HAMILTONIAN RANDOM IMPULSIVE DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
Guo, Yu
Shu, Xiao-Bao
Yin, Qianbao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (08): : 4455 - 4471
[36] Ulam stability of first-order nonlinear impulsive dynamic equations
Scindia, Pallavi
Tikare, Sanket
El-Deeb, Ahmed A.
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[37] Ulam stability of first-order nonlinear impulsive dynamic equations
Pallavi Scindia
Sanket Tikare
Ahmed A. El-Deeb
Boundary Value Problems, 2023
[38] On the solutions of first-order linear impulsive fuzzy differential equations
Liu, Rui
Wang, JinRong
O'Regan, Donal
FUZZY SETS AND SYSTEMS, 2020, 400 : 1 - 33
[39] Impulsive periodic solutions of first-order singular differential equations
Chu, Jifeng
Nieto, Juan J.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 : 143 - 150
[40] Existence of bounded nonoscillatory solutions of first-order nonlinear neutral delay differential equations
Liu, Zeqing
Kang, Shin Min
Ume, Jeong Sheok
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) : 3535 - 3547

← 1 2 3 4 5 →