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Necessary and Sufficient Conditions for a Fourth Order Functional Differential Equation to be Oscillatory

✍ Scribed by K. Gopalsamy; Lizhi Wen; Yong-Shao Chen; Xue-Zhong He

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
416 KB
Volume
164
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Necessary and sufficient conditions for a fourth order functional differential equation of the form

(1) [r(t)yβ€³(t)]β€³+f(t,y(h~1~(t)), y(h~2~(t)), …, y(h~n~(t)))=0

to be oscillatory are given when f is strongly superlinear or strongly sublinear.

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