A global result for discrete I•-Laplacian eigenvalue problems

被引：5

作者：

Bai, Dingyong ^{[1
]}

机构：

[1] Guangzhou Univ, Guangdong Higher Educ Inst, Sch Math & Informat Sci, Key Lab Math & Interdisciplinary Sci, Guangzhou 510006, Guangdong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

关键词：

discrete phi-Laplacian eigenvalue problem; positive solution; the lower and upper solutions method; fixed point index theory; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; MULTIPLICITY RESULT; EXISTENCE;

D O I：

10.1186/1687-1847-2013-264

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concerned is the existence, nonexistence and multiplicity of positive solutions for discrete I center dot-Laplacian eigenvalue problems. By using lower and upper solutions method and fixed point index theory, a global result with respect to parameter is established.

引用

页数：10

共 22 条

[1] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods [J].

Agarwal, Ravi P. ;

Perera, Kanishka ;

O'Regan, Donal .

ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) :93-99

[2] Boundary value problems for discrete equations [J].

Agarwal, RP ;

ORegan, D .

APPLIED MATHEMATICS LETTERS, 1997, 10 (04) :83-89

[3]

Arrazola E., 1998, PROYECCIONES, V17, P189

[4] Nontrivial solutions of boundary value problems of second-order difference equations [J].

Bai, Dingyong ;

Xu, Yuantong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) :297-302

[5] Three positive solutions for a generalized Laplacian boundary value problem with a parameter [J].

Bai, Dingyong ;

Chen, Yuming .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) :4782-4788

[6]

Bereanu C, 2006, MATH BOHEM, V131, P145

[7]

Bondar K, 2011, ITB J SCI A, V43A, P51

[8] Optimal existence conditions for φ-Laplacian equations with upper and lower solutions in the reversed order [J].

Cabada, A ;

Habets, P ;

Pouso, RL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 166 (02) :385-401

[9] Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions [J].

Cabada, A ;

Pouso, RL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (02) :221-231

[10] Existence and comparison results for difference φ-Laplacian boundary value problems with lower and upper solutions in reverse order [J].

Cabada, A ;

Otero-Espinar, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 267 (02) :501-521

← 1 2 3 →