Existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions

被引：34

作者：

Zhang, Dan ^{[1
]}

Dai, Binxiang ^{[1
]}

机构：

[1] Cent S Univ, Dept Math, Changsha 410075, Hunan, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

Impulsive differential equations; Critical point theory; Dirichlet boundary conditions; PULSE VACCINATION; PERIODIC-SOLUTIONS; LINEAR-EQUATIONS; EPIDEMIC MODEL; CONTROLLABILITY; SYSTEMS; MULTIPLICITY; DYNAMICS;

D O I：

10.1016/j.mcm.2010.11.082

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider the existence of solutions for a class of nonlinear impulsive problems with Dirichlet boundary conditions. We obtain some new existence theorems of solutions for the nonlinear impulsive problem by using critical point theory. We extend and improve some recent results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1154 / 1161

页数：8

共 50 条

[1] Multiplicity of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
Zhou, Chenxing
Miao, Fenghua
Liang, Sihua
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[2] Multiplicity of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions
Chenxing Zhou
Fenghua Miao
Sihua Liang
[J]. Boundary Value Problems, 2013
[3] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Mardanov, M. J.
Sharifov, Ya. A.
Zeynally, F. M.
[J]. VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2019, (60): : 61 - 72
[4] Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions
Zhang, Dan
Dai, Binxiang
Chen, Yuming
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (10) : 1538 - 1552
[5] EXISTENCE AND CONVERGENCE OF SOLUTIONS OF NONLINEAR ELLIPTICAL DIFFERENTIAL EQUATIONS UNDER DIRICHLET BOUNDARY CONDITIONS
FREHSE, J
[J]. MATHEMATISCHE ZEITSCHRIFT, 1969, 109 (04) : 311 - &
[6] EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
Ben Ali, Khaled
Ghanmi, Abdeljabbar
Kefi, Khaled
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[7] Multiple Solutions of Nonlinear Impulsive Differential Equations with Dirichlet Boundary Conditions via Variational Method
Dan Zhang
[J]. Results in Mathematics, 2013, 63 : 611 - 628
[8] Multiple Solutions of Nonlinear Impulsive Differential Equations with Dirichlet Boundary Conditions via Variational Method
Zhang, Dan
[J]. RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 611 - 628
[9] Existence of solutions to a class of damped random impulsive differential equations under Dirichlet boundary value conditions
Wang, Song
Shu, Xiao-Bao
Shu, Linxin
[J]. AIMS MATHEMATICS, 2022, 7 (05): : 7685 - 7705
[10] EXISTENCE OF SOLUTIONS FOR FIRST-ORDER HAMILTONIAN RANDOM IMPULSIVE DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS
Guo, Yu
Shu, Xiao-Bao
Yin, Qianbao
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (08): : 4455 - 4471

← 1 2 3 4 5 →