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Asymptotic behavior of nonoscillatory solutions of second order functional differential equations

Published online by Cambridge University Press:  17 April 2009

Takaŝi Kusano  and
Hiroshi Onose
Takaŝi Kusano
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, Japan
Hiroshi Onose
Affiliation:
Department of Mathematics, Faculty of General Education, Ibaraki University, Mito, Japan.
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Abstract

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The asymptotic behavior of nonoscillatory solutions of the second order functional differential equation

is studied. First, in the case when a(t)is oscillatory, sufficient conditions are given in order that all bounded non-oscillatory solutions of (*) approach zero as t → ∞. Secondly, in the case when a(t) is nonnegative, conditions are provided under which all nonoscillatory solutions of (*) tend to zero as t → ∞.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 2 , October 1975 , pp. 291 - 299
Copyright
Copyright © Australian Mathematical Society 1975

References

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