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The delay differential equation

Part of: Functional-differential and differential-difference equations

Published online by Cambridge University Press:  26 February 2010

LL. G. Chambers
LL. G. Chambers
Affiliation:
Department of Applied Mathematics and Computation, University College of North Wales, Bangor, Gwynedd, LL57 2UW
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Extract

The usual method of dealing with delay differential equations such as

is the method of steps [1, 2]. In this, y(x) is assumed to be known for − α < x < 0, thereby defining over 0 < x < α. As a result of integration, the value of y is now known over 0 < x < α, and the integration proceeds thereon by a succession of steps.

MSC classification

Secondary: 34K10: Boundary value problems
Type
Research Article
Information
Mathematika , Volume 33 , Issue 1 , June 1986 , pp. 80 - 86
Copyright
Copyright © University College London 1986

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References

1.Driver, R. D.. Ordinary and Delay Differential Equations (Springer-Verlag, New York, 1977) 226.CrossRefGoogle Scholar
2.Hale, Jack. Theory of Functional Differential Equations (Springer-Verlag, New York, 1977) 15.CrossRefGoogle Scholar
3.Driver, R. D.. Loc. cit, 321.Google Scholar
4.Hale, Jack. Loc. cit, 17.Google Scholar
5.Conte, S. D. and de Boor, Carl. Elementary Numerical Analysis (McGraw-Hill-Kogakusha, Tokyo, 1972) 143.Google Scholar