Minimal and maximal solutions for two-point boundary-value problems

In this article we consider a boundary-value problem for the equation ${f(t,x,x',x'')=0}$ with mixed boundary conditions. Assuming the existence of suitable barrier strips, and using the monotone iterative method, we obtain the minimal and maximal solutions.

Bibliographic Details
Main Authors: Myron K. Grammatikopoulos, Petio S. Kelevedjiev
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/21/abstr.html