On unbounded solutions of singular IVPs with $\phi$-Laplacian

On unbounded solutions of singular IVPs with $\phi$-Laplacian

The paper deals with a singular nonlinear initial value problem with a $\phi$-Laplacian $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0,\ t>0, \quad u(0)=u_0 \in [L_0,L],\ u'(0)=0. $$ Here, $f$ is a continuous function with three roots $\phi(L_0)<0<\phi(L)$, $\phi:\mathbb{R} \to\m...

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Bibliographic Details
Main Authors: Martin Rohleder, Jana Burkotová, Lucía López-Somoza, Jakub Stryja
Format: Article
Language:English
Published: University of Szeged 2017-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
second order ode
time singularity
$\phi$-laplacian
unbounded solution
escape solution
lower and upper functions method
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5995

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5995

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