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

Autor: Jana Burkotová, Irena Rachůnková, Martin Rohleder, Jakub Stryja
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 121, Pp 1-28 (2016)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2016.1.121
Popis: 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 $[0,\infty)$. Here, $f$ is a continuous function with three zeros $\phi(L_0)
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