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

K. Gopalsamy; Lizhi Wen; Yong‐Shao ‐S Chen; Xue‐Zhong ‐Z He

doi:10.1002/mana.19931640104

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

K. Gopalsamy^*, Lizhi Wen, Yong‐Shao ‐S Chen, Xue‐Zhong ‐Z He

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)y″(t)]″+f(t,y(h₁(t)), y(h₂(t)), …, y(h_n(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.

Original language	English
Pages (from-to)	23-36
Number of pages	14
Journal	Mathematische Nachrichten
Volume	164
Issue number	1
DOIs	https://doi.org/10.1002/mana.19931640104
Publication status	Published - 1993
Externally published	Yes

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title = "Necessary and Sufficient Conditions for a Fourth Order Functional Differential Equation to be Oscillatory",

abstract = "Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)y″(t)]″+f(t,y(h1(t)), y(h2(t)), …, y(hn(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.",

author = "K. Gopalsamy and Lizhi Wen and Chen, {Yong‐Shao ‐S} and He, {Xue‐Zhong ‐Z}",

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AU - Wen, Lizhi

AU - Chen, Yong‐Shao ‐S

AU - He, Xue‐Zhong ‐Z

PY - 1993

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N2 - Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)y″(t)]″+f(t,y(h1(t)), y(h2(t)), …, y(hn(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.

AB - Necessary and sufficient conditions for a fourth order functional differential equation of the form (1) [r(t)y″(t)]″+f(t,y(h1(t)), y(h2(t)), …, y(hn(t)))=0 to be oscillatory are given when f is strongly superlinear or strongly sublinear.

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DO - 10.1002/mana.19931640104

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VL - 164

SP - 23

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JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 1

ER -

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

Abstract

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