Publication details

Existence of positive decaying solutions for nonlinear singular second order equations

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ŘEHÁK Pavel TADDEI Valentina

Year of publication 2007
Type Article in Periodical
Magazine / Source Differential Equations and Dynamical Systems
MU Faculty or unit

Faculty of Education

Field General mathematics
Keywords singular boundary value problem
Description We study the singular boundary value problem $(r(t)u')'+f(t,u)=0$, $t\in[0,\infty)$, $r(0)=0$, $u(t)>0$, $\lim_{t\to\infty}u(t)=0$ under quite general assumptions. The conditions guaranteeing its solvability are given, which yield some of the existing results when the equation reduces to special forms.
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