3 papers
math.CA2019
Sequences of positive homoclinic solutions to difference equations with variable exponent
Robert Stegliński, Magdalena Nockowska-Rosiak
We study the existence of infinitely many positive homoclinic solutions to a second-order difference equation on integers with -Laplacian. To achieve our goal we use the criti…
math.AP2016
On homoclinic solutions for a second order difference equation with p-Laplacian
Robert Stegliński
In this paper, we obtain conditions under which the difference equation , has infinitely many…
math.AP2016
On sequences of large homoclinic solutions for a difference equations on the integers involving oscillatory nonlinearities
Robert Stegliński
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 $-Δ\left…