Multiple solutions of nonlinear boundary value problems and topological degree
We consider multipoint and two-point BVPs for second order ordinary differential equations with a Carathéodory right hand side. We prove the existence of solutions provided there exist upper and lower solutions of the BVP and the upper solution is less than the lower one.
We prove the existence of solutions of four-point boundary value problems under the assumption that fulfils various combinations of sign conditions and no growth restrictions are imposed on . In contrast to earlier works all our results are proved for the Carathéodory case.
Page 1 Next