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Discretisation of an infinite delay equation
Author(s):
T.
Sengadir.
Journal:
Math. Comp.
76
(2007),
777-793.
MSC (2000):
Primary 34K28
Posted:
December 13, 2006
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Abstract:
In this paper, a Banach phase space containing ![$ {\bf BC}(-\infty,0]$](/mcom/2007-76-258/S0025-5718-06-01942-9/gif-abstract0/img1.gif) and contained in ![$ {\bf C}(-\infty,0]$](/mcom/2007-76-258/S0025-5718-06-01942-9/gif-abstract0/img2.gif) is defined with which existence of a solution and convergence of a discrete scheme are proved for an infinite delay differential equation.
References:
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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:
10.1090/S0025-5718-06-01942-9
PII:
S 0025-5718(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
Posted:
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.
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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