Infinitely many homoclinic solutions for second order difference equations with p-laplacian

John R. Graef; Lingju Kong; Min Wang

Infinitely many homoclinic solutions for second order difference equations with p-laplacian

John R. Graef, Lingju Kong, Min Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation < a(k)p(<u(k 1)) < + b(k)p(u(k)) = f(k, u(k))), k Z, where p > 1 is a real number, p(t) = |t|p2t for t R, > 0 is a parameter, a, b : Z (0,), and f : Z × R R is a continuous function in the second variable. Some known work in the literature is extended.

Original language	English (US)
Pages (from-to)	95-102
Number of pages	8
Journal	Communications in Applied Analysis
Volume	19
State	Published - Jan 1 2015

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Modeling and Simulation
Applied Mathematics

Fingerprint Dive into the research topics of 'Infinitely many homoclinic solutions for second order difference equations with p-laplacian'. Together they form a unique fingerprint.

Cite this

@article{61bc408634904149adccbc48d8da2866,

title = "Infinitely many homoclinic solutions for second order difference equations with p-laplacian",

abstract = "By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation < a(k)p( 1 is a real number, p(t) = |t|p2t for t R, > 0 is a parameter, a, b : Z (0,), and f : Z × R R is a continuous function in the second variable. Some known work in the literature is extended.",

author = "Graef, {John R.} and Lingju Kong and Min Wang",

year = "2015",

month = jan,

day = "1",

language = "English (US)",

volume = "19",

pages = "95--102",

journal = "Communications in Applied Analysis",

issn = "1083-2564",

publisher = "Dynamic Publishers",

}

TY - JOUR

T1 - Infinitely many homoclinic solutions for second order difference equations with p-laplacian

AU - Graef, John R.

AU - Kong, Lingju

AU - Wang, Min

PY - 2015/1/1

Y1 - 2015/1/1

N2 - By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation < a(k)p( 1 is a real number, p(t) = |t|p2t for t R, > 0 is a parameter, a, b : Z (0,), and f : Z × R R is a continuous function in the second variable. Some known work in the literature is extended.

AB - By using critical point theory, the authors study the existence of infinitely many homoclinic solutions to the difference equation < a(k)p( 1 is a real number, p(t) = |t|p2t for t R, > 0 is a parameter, a, b : Z (0,), and f : Z × R R is a continuous function in the second variable. Some known work in the literature is extended.

UR - http://www.scopus.com/inward/record.url?scp=84952923226&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84952923226&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84952923226

VL - 19

SP - 95

EP - 102

JO - Communications in Applied Analysis

JF - Communications in Applied Analysis

SN - 1083-2564

ER -