Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421084 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
In this paper, we obtain new conditions under which the difference equation-Îa(k)Ïp(Îu(k-1))+b(k)Ïp(u(k))=λf(k,u(k)),kâZ.has infinitely many homoclinic solutions, where p>1 is a real number, Ïp(t)=|t|p-2t for tâR, λ>0 is a parameter, a,b:Zâ(0,â), and f:ZÃRâR is continuous in the second variable. Some known results in the literature are extended and complemented. A variant of the fountain theorem is utilized in the proof of our theorem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lingju Kong,