ON POSITIVE SOLUTIONS OF STURM-LIOUVILLE BOUNDARY-VALUE PROBLEM FOR FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS

被引：0

作者：

Liu, Xianbin ^{[1
]}

Tian, Yu ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2014年 / 23卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

Sturm-Liouville boundary-value problem; Positive solutions; Three critical points theory; Variational methods; Impulsive effects; VARIATIONAL-METHODS; MULTIPLICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations. Applying a three critical points theory, new existence results of positive solutions are obtained.

引用

页码：189 / 201

页数：13

共 50 条

[1] Applications of variational methods to Sturm-Liouville boundary-value problem for fourth-order impulsive differential equations
Tian, Yu
Liu, Xianbin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (01) : 95 - 105
[2] The Solutions of Sturm-Liouville Boundary-Value Problem for Fourth-Order Impulsive Differential Equation via Variational Methods
Tian, Yu
Sun, Dongpo
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[3] Existence of Solutions for Sturm-Liouville Boundary Value Problem of Impulsive Differential Equations
Sun, Hong-Rui
Li, Ya-Ning
Nieto, Juan J.
Tang, Qing
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[4] EXISTENCE OF SOLUTIONS FOR A TWO-POINT BOUNDARY-VALUE PROBLEM OF A FOURTH-ORDER STURM-LIOUVILLE TYPE
Heidarkhani, Shapour
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[5] Positive Solutions of Fourth-Order Equations under Nonlocal Boundary Value Conditions of Sturm-Liouville Type
Chunlei SONG
Wei CHEN
Guowei ZHANG
[J]. Journal of Mathematical Research with Applications, 2023, 43 (01) : 91 - 100
[6] Positive solutions for systems of a nonlinear fourth-order singular semipositone Sturm-Liouville boundary value problem
Feng X.
Feng H.
Tan H.
Du Y.
[J]. Journal of Applied Mathematics and Computing, 2013, 41 (1-2) : 269 - 282
[7] POSITIVE SOLUTIONS OF A NONLINEAR STURM-LIOUVILLE BOUNDARY-VALUE PROBLEM
Cerda, Patricio
Ubilla, Pedro
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2009, 52 : 561 - 568
[8] A fourth-order boundary value problem for a Sturm-Liouville type equation
Bonanno, Gabriele
Di Bella, Beatrice
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 3635 - 3640
[9] Positive solutions of fourth-order Sturm-Liouville boundary value problems with changing sign nonlinearity
Zhang, Xinguang
Liu, Lishan
Jiang, Jiqiang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) : 4764 - 4774
[10] MULTIPLE POSITIVE SOLUTIONS OF SECOND-ORDER STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR IMPULSIVE DIFFERENTIAL EQUATIONS
Tian, Yu
Ge, Weigao
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (02) : 643 - 672

← 1 2 3 4 5 →