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A note on a paper of Bowcock and Yu

Published online by Cambridge University Press:  17 April 2009

I. P. Stavroulakis
I. P. Stavroulakis
Affiliation:
Department of MathematicsUniversity of Ioannina451 10 Ioanniana, Greece
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Abstract

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Consider the first order differential equation (1) , where pi, and τi, for i = 1,…,n, are positive constants. To find necessary and sufficient conditions, in terms of the coefficients and the delays only, under which all solutions of (1) oscillate, is a problem of great importence. In a recent paper, Bowcock and Yu claimed that is a necessary and sufficient condition for all solutions of (1) to be oscillatory. In this paper a counterexample shows that the above result is not valid and the error in this paper is indicated.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 421 - 424
Copyright
Copyright © Australian Mathematical Society 1989

References

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