Asymptotic behaviour of a class of nonlinear functional differential equations of third order

A. Tiryaki; Ş Yaman

doi:10.1016/S0893-9659(00)00157-9

Asymptotic behaviour of a class of nonlinear functional differential equations of third order

A. Tiryaki^*, Ş Yaman

^*Corresponding author for this work

Hacettepe University

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

15 Citations (Scopus)

Abstract

This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y‴ + p(t)y′ + q(t)F(y(g(t))) = 0. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to either zero or ∓∞ as t → ∞.

Original language	English
Pages (from-to)	327-332
Number of pages	6
Journal	Applied Mathematics Letters
Volume	14
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(00)00157-9
Publication status	Published - Apr 2001
Externally published	Yes

Keywords

Asymptotic behaviour of solutions
Nonoscillatory solutions
Third-order functional differential equations

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10.1016/S0893-9659(00)00157-9

Cite this

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abstract = "This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y‴ + p(t)y′ + q(t)F(y(g(t))) = 0. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to either zero or ∓∞ as t → ∞.",

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AB - This paper deals with nonoscillatory behaviour of solutions of third-order nonlinear functional differential equations of the form y‴ + p(t)y′ + q(t)F(y(g(t))) = 0. It has been shown that under certain conditions on coefficient functions, the nonoscillatory solutions of this equation tends to either zero or ∓∞ as t → ∞.

KW - Asymptotic behaviour of solutions

KW - Nonoscillatory solutions

KW - Third-order functional differential equations

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Asymptotic behaviour of a class of nonlinear functional differential equations of third order

Abstract

Keywords

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