RT Journal Article
T1 Existence of homoclinic constant sign solutions for a difference equation on the integers
A1 Cabada Fernández, Alberto
A1 Iannizzotto, Antonio
K1 Difference equations
K1 Discrete p-Laplacian
K1 Variational methods
AB We consider a difference equation involving the discrete $p$-Laplacian operator, depending on a positive real parameter $\lambda$. We prove, under convenient assumptions, that for $\lambda$ big enough the equations admits at least one homoclinic constant sign solution in $\Z$. Our method consists in two parts: first, we prove the existence of two Dirichlet-type solutions for the equation in the discrete interval $[-n,n]$, for all $n\in\N$ big enough; then, we show that such solutions converge to a homoclinic solution in $\Z$, as $n\to\infty$
PB Elsevier
SN 0096-3003
YR 2013
FD 2013-11-01
LK https://hdl.handle.net/10347/45926
UL https://hdl.handle.net/10347/45926
LA eng
NO Alberto Cabada, Antonio Iannizzotto, Existence of homoclinic constant sign solutions for a difference equation on the integers, Applied Mathematics and Computation, Volume 224, 2013, Pages 216-223, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2013.08.017. (https://www.sciencedirect.com/science/article/pii/S0096300313008667)
DS Minerva
RD 6 jun 2026