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An oscillation theorem for a superlinear functional differential equation with general deviating arguments

Published online by Cambridge University Press:  17 April 2009

Yuichi Kitamura  and
Takaŝsi Kusano
Yuichi Kitamura
Affiliation:
Department of Nathematics, Faculty of Education, Nagasaki University, Nagasaki, Japan;
Takaŝsi Kusano
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, Japan.
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Abstract

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An oscillation criterion is established for a class of functional differential equations including the generalized Emden-Fowler equation

as a special case. The deviating arguments involved may be retarded or advanced or otherwise. The result extends and improves known fundamental oscillation criteria for superlinear differential equations with retarded arguments.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 395 - 402
Copyright
Copyright © Australian Mathematical Society 1978

References

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