Second order differential inequalities in Banach spaces
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 69-78
MSC: 34G20, 34B15, 34A40.
DOI: 10.4064/ap77-1-6
Abstract
We derive monotonicity results for solutions of ordinary differential inequalities of second order in ordered normed spaces with respect to the boundary values. As a consequence, we get an existence theorem for the Dirichlet boundary value problem by means of a variant of Tarski's Fixed Point Theorem.
