Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
Volume 58 / 1993
Annales Polonici Mathematici 58 (1993), 221-235
DOI: 10.4064/ap-58-3-221-235
Abstract
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.
