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

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.

Keywords

• Boundary-value problems
• minimal and maximal solutions
• monotone method
• barrier strips.