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

Authors
Tiryaki, A Yaman, S
Citation
A. Tiryaki et S. Yaman, Asymptotic behaviour of a class of nonlinear functional differential equations of third order, APPL MATH L, 14(3), 2001, pp. 327-332
Citations number
16
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
3
Year of publication
2001
Pages
327 - 332
Database
ISI
SICI code
0893-9659(200104)14:3<327:ABOACO>2.0.ZU;2-1
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, t he nonoscillatory solutions of this equation tends to either zero or -/+inf inity as t --> infinity. (C) 2001 Elsevier Science Ltd. All rights reserved .