Some oscillation criteria for second order nonlinear functional ordinary differential equations

The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations ( a(t)x'( t))'+δ 1 p(t)x'( t)+δ 2 q(t)f(x(g(t)))=0, for ≤ t 0≤t, where δ 1=± 1 and δ 2=± 1. The functions p,q,g:[t 0,∞)→ R, f:R → R are...

Full description

Saved in:

Bibliographic Details
Published in:	Acta Mathematica Scientia Vol. 27; no. 3; pp. 602 - 610
Main Authors:	Zayed, E.M.E., El-Moneam, M.A.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.07.2007 Mathematics Department, Faculty of Science, Zagazig University,Zagazig, Egypt
Subjects:	nonlinear functional differential equations Oscillatory and nonoscillatory solutions nonlinear functional differential equations Oscillatory and nonoscillatory solutions
ISSN:	0252-9602, 1572-9087, 1003-3998
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	The main objective of this article is to study the oscillatory behavior of the solutions of the following nonlinear functional differential equations ( a(t)x'( t))'+δ 1 p(t)x'( t)+δ 2 q(t)f(x(g(t)))=0, for ≤ t 0≤t, where δ 1=± 1 and δ 2=± 1. The functions p,q,g:[t 0,∞)→ R, f:R → R are continuous, a(t)>0, p(t)≥ 0, q(t)≥ 0 for t≥ t 0, lim t→∞ g(t)=∞, and q is not identically zero on any subinterval of [ t 0,∞). Moreover, the functions q(t),g(t), and a(t) are continuously differentiable.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0252-9602 1572-9087 1003-3998
DOI:	10.1016/S0252-9602(07)60059-9