Discretisation of an infinite delay equation

Author:
T. Sengadir

Journal:
Math. Comp. **76** (2007), 777-793

MSC (2000):
Primary 34K28

Published electronically:
December 13, 2006

MathSciNet review:
2291836

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, a Banach phase space containing and contained in is defined with which existence of a solution and convergence of a discrete scheme are proved for an infinite delay differential equation.

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Additional Information

**T. Sengadir**

Affiliation:
Department of Mathematics, SSN College of Engineering, Old Mahabalipuram Road, Kalavakkam-603 110, Tamil Nadu, India

DOI:
http://dx.doi.org/10.1090/S0025-5718-06-01942-9

Keywords:
Functional differential equations,
infinite delay,
numerical solutions.

Received by editor(s):
April 5, 2005

Received by editor(s) in revised form:
March 31, 2006

Published electronically:
December 13, 2006

Additional Notes:
The author would like to thank the Management Committee of SSNCE for their constant encouragement, support, and for setting up computational lab.

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.