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Sharp conditions for oscillations caused by retarded and advanced perturbations

Published online by Cambridge University Press:  17 April 2009

J.E. Bowcock  and
Y.H. Yu
J.E. Bowcock
Affiliation:
Department of Mathematics, The University of Birmingham, P.O. Box 363, Birmingham, B15 2TT, United Kingdom
Y.H. Yu
Affiliation:
Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China
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Abstract

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In this paper we study the oscillatory behaviour of solutions of equations of the forms , where pi, and τi, for i = 1, 2,…, n, are positive constants and p is an arbitary constant. Three necessary and sufficient conditions for all solutions of (A) and (B) respectively to be oscillatory are established. These results extend and generalise previous results in a new approach.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 429 - 435
Copyright
Copyright © Australian Mathematical Society 1988

References

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