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Oscillations of solutions of general integrodifferential equations

Part of: Integro-ordinary differential equations Miscellaneous special kernels

Published online by Cambridge University Press:  26 February 2010

A. H. Nasr
A. H. Nasr
Affiliation:
Department of Mathematics, Ain Shams University College for Women, Asma Fahmi St., Heliopolis, Cairo, Egypt.
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Extract

Abstract. Sufficient conditions are derived for all bounded solutions of general classes of integrodifferential equations of arbitrary order with variable coefficients to be either oscillatory or convergent to zero asymptotically.

MSC classification

Secondary: 45J05: Integro-ordinary differential equations
Type
Research Article
Information
Mathematika , Volume 39 , Issue 1 , June 1992 , pp. 152 - 160
Copyright
Copyright © University College London 1992

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References

1.Ladde, G. S., Lakshmikanthan, V. and Zhang, B. G.. Oscillation Theory of Differential Equations with Deviating Arguments (Marcel Dekker, Inc. New York, 1987).Google Scholar
2.Myskis, A. D.. Linear Differential Equations with Deviating Arguments, Second edition (Russian) (Nauka, Moscow, 1972).Google Scholar
3.Hu, , Chuan, Shou, Lakshmikantham and Rama Mohan Rao. Nonlinear variation of parameters formula for integrodifferential equations of Volterra type. J. Math. Anal. Appl., 129 (1988), 223–230.CrossRefGoogle Scholar
4.Angelova, D. T. and Bainov, D. D.. On the behaviour of Volterra second order integrodifferential equations. Quart. J. Math., Oxford Series, (2), 39 (1988), 255–268.Google Scholar
5.Gopalsamy, K.. Oscillations in integrodifferential equations of arbitrary order. J. Math. Anal Appl., 126 (1987), 100–109.CrossRefGoogle Scholar
6.Coppel, W. A.. Disconjugacy, Lecture notes in Mathematics, 220 (Springer-Verlag, 1971).Google Scholar