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Stability of functional differential equations of Volterra type

Published online by Cambridge University Press:  17 April 2009

M. Rama Mohana Rao  and
P. Srinivas
M. Rama Mohana Rao
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India.
P. Srinivas
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India.
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Abstract

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The Liapunov-Razumikhin technique has been employed to study Lp stability properties of solutions of functional differential equations of delay type where the delay becomes unbounded as t ↠ +∞. These results have been applied to investigate sufficient conditions for L2-stability of Volterra integro-differentlal equations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1984 , pp. 93 - 100
Copyright
Copyright © Australian Mathematical Society 1984

References

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