A Variational Principle for Three-Point Boundary Value Problems with Impulse

被引：0

作者：

Yang, Dianwu ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1155/2014/840408

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a variational functional of a class of three-point boundary value problems with impulse. Using the critical points theory, we study the existence of solutions to second-order three-point boundary value problems with impulse

引用

页数：6

共 18 条

[1] Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower solution condition [J].

Bao, Gui ;

Xu, Xian ;

Song, Yan .

APPLIED MATHEMATICS LETTERS, 2012, 25 (04) :767-770

[2] Multiplicity results for Sturm-Liouville boundary value problems [J].

Bonanno, Gabriele ;

Riccobono, Giuseppa .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) :294-297

[3] Positive solutions for a three-point boundary value problem at resonance [J].

Han, Xiaoling .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) :556-568

[4] Positive solutions of three-point boundary value problems for second order impulsive differential equations with advanced arguments [J].

Jankowski, Tadeusz .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) :179-189

[5] Solvability of second-order nonlinear three-point boundary value problems [J].

Kwong, Man Kam ;

Wong, James S. W. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) :2343-2352

[6] Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order [J].

Li, Fangfei ;

Jia, Mei ;

Liu, Xiping ;

Li, Chuling ;

Li, Gaoshang .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) :2381-2388

[7] Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order [J].

Li, Fangfei ;

Sun, Jitao ;

Jia, Mei .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (09) :4840-4847

[8] Positive solutions for three-point boundary value problems for second-order impulsive differential equations on infinite intervals [J].

Li, Jianli ;

Shen, Jianhua .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) :2372-2379

[9] The existence of countably many positive solutions for some nonlinear singular three-point impulsive boundary value problems [J].

Liang, Sihua ;

Zhang, Jihui .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4588-4597

[10] Positive solutions for a singular second-order three-point boundary value problem [J].

Liu, Bingmei ;

Liu, Lishan ;

Wu, Yonghong .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 196 (02) :532-541

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