Nonlinear Singular BVP of Limit Circle Type and the Presence of Reverse-Ordered Upper and Lower Solutions
نویسندگان
چکیده
We consider the following class of nonlinear singular differential equation − p x y′ x ′ q x f x, y x , p x y′ x 0, 0 < x < 1 subject to the Neumann boundary condition y′ 0 y′ 1 0. Conditions on p x and q x ensure that x 0 is a singular point of limit circle type. A simple approximation scheme which is iterative in nature is considered. The initial iterates are upper and lower solutions which can be ordered in one way v0 ≤ u0 or the other u0 ≤ v0 .
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