# Masaryk University

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# Existence of positive decaying solutions for nonlinear singular second order equations

Authors TADDEI Valentina 2007 Article in Periodical Differential Equations and Dynamical Systems General mathematics singular boundary value problem 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.