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

[21] EXISTENCE OF EXTREME SOLUTION TO FIRST-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
Huantao Zhu(Hunan College of Information
Annals of Applied Mathematics, 2011, (01) : 119 - 126
[22] Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions
Cabada, A
Otero-Espinar, V
Pouso, RL
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (1-2) : 21 - 33
[23] EXISTENCE AND APPROXIMATION OF SOLUTIONS FOR IMPULSIVE FIRST-ORDER PROBLEMS WITH NONLINEAR BOUNDARY-CONDITIONS
LIZ, E
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (11) : 1191 - 1198
[24] EXISTENCE RESULTS FOR FIRST-ORDER IMPULSIVE DIFFERENTIAL-EQUATIONS
FRIGON, M
OREGAN, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 193 (01) : 96 - 113
[25] Existence of positive periodic solutions of nonlinear first-order delayed differential equations
Ma, Ruyun
Chen, Ruipeng
Chen, Tianlan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 527 - 535
[26] The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance
Shi-wang M.A.
Zhi-cheng W.
Yu Jian-she
Applied Mathematics and Mechanics, 2000, 21 (11) : 1282 - 1291
[27] The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance
Ma, SW
Wang, ZC
Yu, JS
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (11) : 1282 - 1291
[28] THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS AT RESONANCE
马世旺
王志成
庾建设
Applied Mathematics and Mechanics(English Edition), 2000, (11) : 1282 - 1291
[29] Oscillation of first-order impulsive difference equations with continuous arguments
Karpuz, B.
Ocalan, O.
Ozturk, S.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (02) : 539 - 543
[30] Extremal Solutions for Nonlinear First-Order Impulsive Integro-Differential Dynamic Equations
Zhang, L.
Xing, Y. F.
MATHEMATICAL NOTES, 2019, 105 (1-2) : 123 - 131

← 1 2 3 4 5 →