%0 Journal Article %T Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations %A Irena Rachů %A nková %A Jan Tomeč %A ek %J Boundary Value Problems %D 2009 %I Springer %R 10.1155/2009/959636 %X This paper investigates the singular differential equation (p(t)u¡ä)¡ä=p(t)f(u), having a singularity at t=0. The existence of a strictly increasing solution (a homoclinic solution) satisfying u¡ä(0)=0, u(¡Þ)=L>0 is proved provided that f has two zeros and a linear behaviour near ¡Þ. %U http://dx.doi.org/10.1155/2009/959636