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...
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¶mtipus_ertek=publication¶m_ertek=7451 |
Similar Items
-
Existence of homoclinic orbits for unbounded time-dependent $p$-Laplacian systems
by: Adel Daouas
Published: (2016-09-01) -
Existence of fast homoclinic solutions for a class of second-order damped vibration systems
by: Qiongfen Zhang
Published: (2018-05-01) -
New existence and multiplicity of homoclinic solutions for second order non-autonomous systems
by: Huiwen Chen, et al.
Published: (2014-05-01) -
Homoclinic solutions for a class of second order non-autonomous systems
by: Ziheng Zhang, et al.
Published: (2009-10-01) -
Homoclinic solutions for second-order non-autonomous Hamiltonian systems without global Ambrosetti-Rabinowitz conditions
by: Rong Yuan, et al.
Published: (2010-02-01)