Positive Solutions for Singular Complementary Lidstone Boundary Value Problems

被引：2

作者：

Wang, Fanglei ^{[1
]}

An, Yukun ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

DIFFERENTIAL-SYSTEMS; EXISTENCE;

D O I：

10.1155/2011/714728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using fixed-point theorems of a cone, we investigate the existence and multiplicity of positive solutions for complementary Lidstone boundary value problems: (-1)(n)u((2n+1))(t) = h(t)f(u(t)), in 0 < t < 1, u(0) = 0, u((2i+1))(0) = u((2i+1))(1) = 0, 0 <= i <= n -1, where n is an element of N.

引用

页数：13

共 10 条

[1] Complementary Lidstone Interpolation and Boundary Value Problems [J].

Agarwal, Ravi P. ;

Pinelas, Sandra ;

Wong, Patricia J. Y. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

[2] Positive Solutions of Singular Complementary Lidstone Boundary Value Problems [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Stanek, Svatoslav .

BOUNDARY VALUE PROBLEMS, 2010,

[3]

[Anonymous], 1988, NOTES REPORTS MATH S

[4] Positive solutions for 2p-order and 2q-order systems of singular boundary value problems with integral boundary conditions [J].

Kang, Ping ;

Xu, JuanJuan ;

Wei, Zhongli .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2767-2786

[5] Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems [J].

Ru, Yuanfang ;

An, Yukun .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) :1093-1104

[6] Positive solutions for a second-order differential system [J].

Wang, Fanglei ;

An, Yukun .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (02) :370-375

[7] A class of 2nth-order singular boundary value problems [J].

Wei, Zhongli ;

Pang, Changci .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (06) :1225-1245

[8] Existence of positive solutions for 2m-order nonlinear differential systems [J].

Yang, XJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (1-2) :77-95

[9] Existence of solutions. for 2n-order boundary value problem [J].

Yang, XJ .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) :77-87

[10]

Yao QL, 2004, COMPUT MATH APPL, V47, P1195, DOI [10.1016/S0898-1221(04)90113-7, 10.1016/j.camwa.2004.04.004]

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