Displaying similar documents to “Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations.”

Upper and lower solutions satisfying the inverse inequality

Irena Rachůnková (1997)

Annales Polonici Mathematici


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.