On Homoclinic Solutions of a Semilinear p-Laplacian Difference Equation with Periodic Coefficients

被引：14

作者：

Cabada, Alberto ^{[1
]}

Li, Chengyue ^{[2
]}

Tersian, Stepan ^{[3
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[2] Minzu Univ China, Dept Math, Beijing 100081, Peoples R China

[3] Univ Rousse, Dept Math Anal, Rousse 7017, Bulgaria

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

BOUNDARY-VALUE-PROBLEMS; ORBITS;

D O I：

10.1155/2010/195376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of homoclinic solutions for semilinear p-Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezis-Nirenberg's Mountain Pass Theorem. Several examples and remarks are given.

引用

页数：17

共 20 条

[1]

Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012

[2]

[Anonymous], 1899, Les Methods Nouvells de la Mecanique Leleste

[3] REMARKS ON FINDING CRITICAL-POINTS [J].

BREZIS, H ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (8-9) :939-963

[4] Multiple solutions for discrete boundary value problems [J].

Cabada, Alberto ;

Iannizzotto, Antonio ;

Tersian, Stepan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :418-428

[5] Existence of periodic and subharmonic solutions for second-order p-Laplacian difference equations [J].

Chen, Peng ;

Fang, Hui .

ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)

[6] Discrete Ginzburg-Landau solitons [J].

Efremidis, NK ;

Christodoulides, DN .

PHYSICAL REVIEW E, 2003, 67 (02) :5

[7] Existence of nontrivial homoclinic orbits for fourth-order difference equations [J].

Fang, Hui ;

Zhao, Dapeng .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) :163-170

[8] Positive homoclinic solutions for a class of second order differential equations [J].

Grossinho, MD ;

Minhós, F ;

Tersian, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 240 (01) :163-173

[9] A NOTE ON PERIODIC-SOLUTIONS OF SOME NONAUTONOMOUS DIFFERENTIAL-EQUATIONS [J].

GROSSINHO, MR ;

SANCHEZ, L .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 34 (02) :253-265

[10] Three solutions to Dirichlet boundary value problems for p-Laplacian difference equations [J].

Jiang, Liqun ;

Zhou, Zhan .

ADVANCES IN DIFFERENCE EQUATIONS, 2008, 2008 (1)

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