Multiple Solutions for Nonlinear Doubly Singular Three-Point Boundary Value Problems with Derivative Dependence
نویسندگان
چکیده
We study the existence of multiple nonnegative solutions for the doubly singular threepoint boundary value problem with derivative dependent data function − p t y′ t ′ q t f t, y t , p t y′ t , 0 < t < 1, y 0 0, y 1 α1y η . Here, p ∈ C 0, 1 ∩ C1 0, 1 with p t > 0 on 0, 1 and q t is allowed to be discontinuous at t 0. The fixed point theory in a cone is applied to achieve new and more general results for existence of multiple nonnegative solutions of the problem. The results are illustrated through examples.
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