Solutions to a boundary value problem of a fourth-order impulsive differential equation

被引：26

作者：

Xie, Jingli ^{[1
]}

Luo, Zhiguo ^{[2
]}

机构：

[1] Jishou Univ, Coll Math & Stat, Jishou 416000, Hunan, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2013年

关键词：

critical point theorem; impulsive differential equations; boundary value problem; MULTIPLICITY; EXISTENCE;

D O I：

10.1186/1687-2770-2013-154

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter.. By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least one solution. It is also shown that under certain conditions there exists an interval of the control parameter in which the boundary value problem possesses infinitely many solutions. The main results are also demonstrated with examples.

引用

页数：14

共 50 条

[31] Existence of positive solutions of a fourth-order boundary value problem
Ma, RY
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 1219 - 1231
[32] THREE SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Afrouzi, Ghasem A.
Shokooh, Saeid
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[33] POSITIVE SOLUTIONS TO FOURTH-ORDER NEUMANN BOUNDARY VALUE PROBLEM
Zhilong Li (School of Informational Management
Annals of Applied Mathematics, 2010, (02) : 190 - 194
[34] Existence and uniqueness of solutions for a fourth-order boundary value problem
Feng, Hanying
Ji, Dehong
Ge, Weigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (10) : 3561 - 3566
[35] Existence of solutions for fourth-order boundary value problem with parameter
Yang Yang
Ji-hui Zhang
Applied Mathematics and Mechanics, 2010, 31 : 377 - 384
[36] On Solutions of Boundary Value Problem for Fourth-Order Beam Equations
Bougoffa, Lazhar
Rach, Randolph
Wazwaz, Abdul-Majid
MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (03) : 304 - 318
[37] On the Existence of Positive Solutions for a Fourth-Order Boundary Value Problem
Zou, Yumei
JOURNAL OF FUNCTION SPACES, 2017, 2017
[38] On positive solutions for fourth-order boundary value problem with impulse
Karaca, Ilkay Yaslan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 225 (02) : 356 - 364
[39] Multiple Positive Solutions of a Fourth-order Boundary Value Problem
Benham, Aaron
Kosmatov, Nickolai
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (02)
[40] EXISTENCE OF SOLUTIONS FOR A FOURTH-ORDER BOUNDARY-VALUE PROBLEM
Liu, Yang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,

← 1 2 3 4 5 →