Multiplicity of solutions for a class of impulsive differential equations with Dirichlet boundary conditions via variant fountain theorems

被引：42

作者：

Sun, Juntao ^{[1
]}

Chen, Haibo ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

关键词：

Impulsive differential equations; Critical point; Variational method; Variant fountain theorems; 2ND-ORDER HAMILTONIAN-SYSTEMS; PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2010.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of infinitely many classical solutions for a class of second-order impulsive differential equations. By using two new fountain theorems, we deal with two cases: that when the nonlinearity is superlinear and that when it is asymptotically linear at infinity. Some recent results are extended and improved. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4062 / 4071

页数：10

共 50 条

[41] Multiple solutions of boundary-value problems for impulsive differential equations
Wang, Weibing
Yang, Xuxin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (13) : 1649 - 1657
[42] Existence Solutions for Implicit Fractional Relaxation Differential Equations with Impulsive Delay Boundary Conditions
Wattanakejorn, Varaporn
Karthikeyann, Panjaiyan
Poornima, Sadhasivam
Karthikeyan, Kulandhaivel
Sitthiwirattham, Thanin
AXIOMS, 2022, 11 (11)
[43] GLOBAL STRUCTURE OF SOLUTIONS TO BOUNDARY -VALUE PROBLEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS
Niu, Yanmin
Yan, Baoqiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[44] Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations
Yuan-sheng Tian
Chun-gen Liu
Acta Mathematicae Applicatae Sinica, English Series, 2010, 26 : 145 - 158
[45] The Multiplicity of Solutions for a Class of Nonlinear Fractional Dirichlet Boundary Value Problems with p-Laplacian Type via Variational Approach
Li, Dongping
Chen, Fangqi
An, Yukun
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (3-4) : 361 - 371
[46] Multiplicity of solutions to two-point boundary value problems for second-order impulsive differential equations
Zhao, Yulin
Chen, Haibo
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 925 - 931
[47] Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations
Tian, Yuan-sheng
Liu, Chun-gen
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 26 (01): : 145 - 158
[48] Multiplicity of Positive Solutions to M-point Boundary Value Problem of Second Order Impulsive Differential Equations
Yuan-sheng Tian~1
Acta Mathematicae Applicatae Sinica(English Series), 2010, 26 (01) : 145 - 158
[49] A study of existence and multiplicity of positive solutions for nonlinear fractional differential equations with nonlocal boundary conditions
Bouteraa, Noureddine
Benaicha, Slimane
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (02): : 361 - 380
[50] Multiplicity of positive solutions of a class of nonlinear fractional differential equations
Sun, JP
Zhao, YH
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (01) : 73 - 80

← 1 2 3 4 5 →