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Positive solutions to the singular initial-boundary value problems xÃ¢Â€Â²Ã¢Â€Â²=Ã¢ÂˆÂ’f(t,Ã¢Â€Â‰xt),Ã¢Â€Â‰0<t<1,Ã¢Â€Â‰x0=0,Ã¢Â€Â‰x(1)=0, are obtained by applying the Schauder fixed-point theorem, where xt(u)=x(t+u)Ã¢Â€Â‰(0Ã¢Â‰Â¤tÃ¢Â‰Â¤1) on [Ã¢ÂˆÂ’r,0] and f(Ã¢Â‹Â…,Ã¢Â‹Â…):(0,1)ÃƒÂ—(C+{0})Ã¢Â†Â’R+(C+={xÃ¢ÂˆÂˆC([Ã¢ÂˆÂ’r,0],R),Ã¢Â€Â‰x(t)Ã¢Â‰Â¥0,Ã¢Â€Â‰Ã¢ÂˆÂ€tÃ¢ÂˆÂˆ[Ã¢ÂˆÂ’r,0]}) may be singular at ÃÂ†(u)=0Ã¢Â€Â‰(Ã¢ÂˆÂ’rÃ¢Â‰Â¤uÃ¢Â‰Â¤0) and t=0. As an application, an example is given to demonstrate our result

Positive Solutions of Singular Initial-Boundary Value Problems to Second-Order Functional Differential Equations