Oct 07,2017 Scientific research & Postgraduate Studies

An existence and uniqueness theorem for an n-th order functional differential equation

Author

Dr. Fozi M. Dannan

Published in

International Journal of Pure and Applied Mathematics Volume 84 No. 3 2013, 193-200

Abstract

Existence and uniqueness problem is a very important problem because when one guarantees the existence and uniqueness of solutions, then the computations can start on safely. In this article we prove a theorem for global existence and uniqueness of solutions for the following initial value problem of an n-th order functional differential equation:

 

are continuous functions on some interval .

Key Words: functional differential equations, existence and uniqueness

Link to read full paper

http://www.ijpam.eu/contents/2013-84-3/6/6.pdf