A topological result for a class of anisotropic difference equations

Mustafa Avci

A topological result for a class of anisotropic difference equations

Mustafa Avci

Centre for Science

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

2 Citations (Scopus)

Abstract

In the present paper, we establish a new topological existence result derived from the Leray-Schauder degree and show the existence of a nontrivial homoclinic solution for a class of non-homogeneous anisotropic difference equation settled in the variable exponent sequence space l^p(k)(Z).

Original language	English
Pages (from-to)	328-343
Number of pages	16
Journal	Annals of the University of Craiova, Mathematics and Computer Science Series
Volume	46
Issue number	2
Publication status	Published - 2019

Keywords

Difference equation
Homoclinic solution
The leray-schauder degree
Topological methods
Variable exponent sequence space

Cite this

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title = "A topological result for a class of anisotropic difference equations",

abstract = "In the present paper, we establish a new topological existence result derived from the Leray-Schauder degree and show the existence of a nontrivial homoclinic solution for a class of non-homogeneous anisotropic difference equation settled in the variable exponent sequence space lp(k)(Z).",

keywords = "Difference equation, Homoclinic solution, The leray-schauder degree, Topological methods, Variable exponent sequence space",

author = "Mustafa Avci",

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year = "2019",

language = "English",

volume = "46",

pages = "328--343",

number = "2",

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T1 - A topological result for a class of anisotropic difference equations

AU - Avci, Mustafa

PY - 2019

Y1 - 2019

N2 - In the present paper, we establish a new topological existence result derived from the Leray-Schauder degree and show the existence of a nontrivial homoclinic solution for a class of non-homogeneous anisotropic difference equation settled in the variable exponent sequence space lp(k)(Z).

AB - In the present paper, we establish a new topological existence result derived from the Leray-Schauder degree and show the existence of a nontrivial homoclinic solution for a class of non-homogeneous anisotropic difference equation settled in the variable exponent sequence space lp(k)(Z).

KW - Difference equation

KW - Homoclinic solution

KW - The leray-schauder degree

KW - Topological methods

KW - Variable exponent sequence space

UR - https://www.scopus.com/pages/publications/85080970545

M3 - Journal Article

AN - SCOPUS:85080970545

SN - 1223-6934

VL - 46

SP - 328

EP - 343

JO - Annals of the University of Craiova, Mathematics and Computer Science Series

JF - Annals of the University of Craiova, Mathematics and Computer Science Series

IS - 2

ER -

A topological result for a class of anisotropic difference equations

Abstract

Keywords

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