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Some comparison criteria in oscillation theory

Part of: Qualitative theory Functional-differential and differential-difference equations

Published online by Cambridge University Press:  09 April 2009

Ch. G. Philos
Ch. G. Philos
Affiliation:
Department of Mathematics University of IoanninaIoannina, Greece
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Abstract

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The purpose of this paper is to establish comparison criteria, by which the oscillatory and asymptotic behavior of linear retarded differential equations of arbitrary order is inherited from the oscillation of an associated second order linear ordinary differential equation. These criteria are new even in the case of ordinary differential equations.

MSC classification

Secondary: 34C10: Oscillation theory, zeros, disconjugacy and comparison theory 34K25: Asymptotic theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 2 , April 1984 , pp. 176 - 186
Copyright
Copyright © Australian Mathematical Society 1984

References

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