TWO-POINT BOUNDARY VALUE PROBLEMS FOR A FIRST ORDER IMPLICIT DIFFERENTIAL EQUATIONS

In this paper, we utilize the monotone iterative technique to investigate a general two-point boundary value problem of the form

PERIODIC BOUNDARY VALUE PROBLEMS FOR A SECOND ORDER IMPLICIT DIFFERENTIAL EQUATION

In this paper we describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem in the presence of an upper solution βand lower solution a with β a.