On sequences of large homoclinic solutions for a difference equation on the integers involving oscillatory nonlinearities

In this paper, we determine a concrete interval of positive parameters , for which we prove the existence of infinitely many homoclinic solutions for a discrete problem $$\Delta(a(k)\phi_p(u(k-1)))+ b(k)\phi_p(u(k)) = \lambda f(k;u(k)),\quad k \in Z,$$ where the nonlinear term $f : \mathbb{Z} \times...

Full description

Bibliographic Details
Main Author: Robert Stegliński
Format: Article
Language:English
Published: University of Szeged 2016-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4817