On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
Volume 71 / 1999
Annales Polonici Mathematici 71 (1999), 1-17
DOI: 10.4064/ap-71-1-1-17
Abstract
We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
