Sequences of small homoclinic solutions for difference equations on integers

In this article, we determine a concrete interval of positive parameters $\lambda $, for which we prove the existence of infinitely many homoclinic solutions for a discrete problem $$ -\Delta \big( a(k)\phi _{p}(\Delta u(k-1))\big) +b(k)\phi_{p}(u(k)) =\lambda f(k,u(k)),\quad k\in \mathbb{Z},...

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Bibliographic Details
Main Author: Robert Steglinski
Format: Article
Language:English
Published: Texas State University 2017-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/228/abstr.html