Existence and uniqueness of positive even homoclinic solutions for second order differential equations

This paper is concerned with the existence of positive even homoclinic solutions for the $p$-Laplacian equation \begin{equation*} (|u'|^{p-2}u')' - a(t)|u|^{p-2}u+f(t,u)=0,\qquad t\in \mathbb{R}, \end{equation*} where $p\ge 2$ and the functions $a $ and $f$ satisfy some reasonable...

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Bibliographic Details
Main Authors: Adel Daouas, Monia Boujlida
Format: Article
Language:English
Published: University of Szeged 2019-06-01
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=7451