A topological result for a class of anisotropic difference equations

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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 lp(k)(Z).

Original languageEnglish
Pages (from-to)328-343
Number of pages16
JournalAnnals of the University of Craiova, Mathematics and Computer Science Series
Volume46
Issue number2
Publication statusPublished - 2019

Keywords

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

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