Positive solutions of singular dirichlet boundary value problems with sign-changing nonlinearities
By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem, x"(t) + f(t, x(t)) = 0, 0 < t < 1, x(0) = 0 = x(1). It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearity may change sign and be singular at t = 0, 1, x = 0. (c) 2006 Elsevier Ltd. All rights reserved.
positive solutions singularities sign-changing nonlinearities bvps fixed points