Homoclinic solutions of singular differential equations with $\phi$-Laplacian

Homoclinic solutions of singular differential equations with $\phi$-Laplacian

A singular nonlinear initial value problem (IVP) with a $\phi$-Laplacian of the form $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in [L_0,0),\quad u'(0)=0 $$ is investigated on the half-line $[0,\infty)$. Here, function $\phi$ is smooth and increasing on $\mathbb{R}$ w...

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Bibliographic Details
Main Authors: Lukáš Rachůnek, Irena Rachůnková
Format: Article
Language:English
Published: University of Szeged 2018-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
second order ode
time singularity
$\phi$-laplacian
homoclinic solution
half-line
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6662

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6662

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