Periodic Boundary Value Problems for a Class of Functional Differential EquationsU (original) (raw)

Periodic Boundary Value Problems for a Class of Functional Differential Equations

Journal of Mathematical Analysis and Applications, 1996

In this paper we show that the method of upper and lower solutions coupled with the monotone iterative technique is valid to obtain constructive proofs of existence of solutions for nonlinear periodic boundary value problems of functional differential equations without assuming properties of monotonicity in the nonlinear part.

Periodic Boundary Value Problems for Second Order Functional Differential Equations

Acta Mathematicae Applicatae Sinica, English Series, 2004

This paper is concerned with the existence of extremal solutions of periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions. We introduce a new definition of lower and upper solutions with integral jump conditions and prove some new maximum principles. The method of lower and upper solutions and the monotone iterative technique are used.

Periodic solutions of first order functional differential equations

2011

We study the existence of T-periodic solutions of some first order functional differential equations. Several existence criteria are established for our problems; in particular, we obtain conditions for the existence of multiple (even infinitely many) T-periodic solutions of one of the problems. Examples are also included to illustrate our results.