Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 21, pp. 1-14.

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

Authors: Myron K. Grammatikopoulos (Univ.of Ioannina, Greece)
         Petio S. Kelevedjiev (Technical Univ. of Sliven, Bulgaria)

Abstract: 
 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.
 
Submitted December 12, 2002. Published February 28, 2003.
Math Subject Classifications: 34B15.
Key Words: Boundary-value problems; minimal and maximal solutions; 
           monotone method; barrier strips.