Existence and uniqueness of damped solutions of singular IVPs with $\phi$-Laplacian

Existence and uniqueness of damped solutions of singular IVPs with $\phi$-Laplacian

We study analytical properties of a singular nonlinear ordinary differential equation with a $\phi$-Laplacian. In particular we investigate solutions of the initial value problem $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in [L_0,L],\quad u'(0)=0 $$ on the half-line...

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Bibliographic Details
Main Authors: Jana Burkotová, Irena Rachůnková, Martin Rohleder, Jakub Stryja
Format: Article
Language:English
Published: University of Szeged 2016-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
second order ode
time singularity
existence and uniqueness
$\phi$-laplacian
damped solution
half-line
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5104

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5104

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