Abstract
In this paper, we consider the following singular nonlinear problem
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where A is a positive continuous function on (0,1), q is a nonnegative measurable function on [0,1] and f is a nonnegative regular function on (0,1)x(0,infinity).
We suppose that integral (1)(0)dt/A(t)< infinity and 0 < integral (1)(0)A(t)q(t) dt < infinity. Then we prove the existence and the uniqueness of a positive solution of this problem (P).
Our approach is based on the use of the Green's function and the Schauder's fixed point theorem.