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Some Delays do not matter

Published online by Cambridge University Press:  17 April 2009

K. Gopalsamy
K. Gopalsamy
Affiliation:
School of Mathematical Sciences, The Flinders University of South Australia, Bedford Park, S.A. 5042, Australia.
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Abstract

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Sufficient conditions are derived for the solutions of a system of linear delay-differential equations to behave asymptotically as those of the same system without the argument delays. A generalisation of the result to integrodifferential systems is indicated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 30 , Issue 1 , August 1984 , pp. 91 - 98
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Cooke, K.L.,“Functional differential equations with asymptotically vanishing lag”, Rend. Circ. Mat. Palermo. Ser. II 16 (1967), 39–56.CrossRefGoogle Scholar
[2]Hale, J.K., “Linear asymptotically autonomous functional differential equations”. Rend. Circ. Math. Palermo. Ser. II 15 (1966), 331–351.CrossRefGoogle Scholar
[3]Kato, J., “On the existence of a solution approaching zero for functional differential equations”. Proceedings of the U.S. Japan Seminar on differential and functional equations”, 153–169Benjamin, New York 1967.Google Scholar