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A Necessary and Sufficient Condition for the Solutions of a Functional Differential Equation to Be Oscillatory or Tend to Zero

โœ Scribed by Pitambar Das; N Misra

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
119 KB
Volume
205
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

It is shown that every solution of the nonhomogeneous functional differential equation

x t y px t y q Q t G x t y s f t ,

๐Ÿ“œ SIMILAR VOLUMES

Necessary and Sufficient Conditions for
Necessary and Sufficient Conditions for a Fourth Order Functional Differential Equation to be Oscillatory
โœ K. Gopalsamy; Lizhi Wen; Yong-Shao Chen; Xue-Zhong He ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 416 KB

## Abstract Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)yโ€ณ(t)]โ€ณ+f(t,y(h~1~(t)), y(h~2~(t)), โ€ฆ, y(h~n~(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.