Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities. (English) Zbl 1176.34029
Summary: We study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem.
MSC:
34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
47N20 | Applications of operator theory to differential and integral equations |