Abstract:

The positive solution of a class of nonautonomous nonlinear third-order two-point boundary value problems is studied, where the nonlinear term is allowed to be singular with respect to the time and space variables. By constructing suitable dominated functions and applying Guo-Krasnosel’skii fixed point theorem on a cone, an existence theorem of a positive solution is established.

Key words: singular ordinary differential equation; nonautonomous boundary value problem; positive solution; existence