IJPAM: Volume 84, No. 3 (2013)

AN EXISTENCE AND UNIQUENESS THEOREM FOR
AN n-TH ORDER FUNCTIONAL DIFFERENTIAL EQUATION

Fozi M. Dannan1, Elias G. Saleeby2
^Department of Basic Sciences
Arab International University
P.O. Box 10409, Damascus, SYRIA
2Department of Mathematics
Alfaisal University
P.O. Box 50927, Riyadh 11533, KINGDOM OF SAUDI ARABIA


Abstract. In this note we give a theorem for global existence and uniqueness of solutions for the initial value problem of an n-th order functional differential equation described by (1).

Received: November 6, 2012

AMS Subject Classification: 34K05, 35G99

Key Words and Phrases: functional differential equations, existence and uniqueness

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DOI: 10.12732/ijpam.v84i3.6 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 3