doi:10.1016/j.aml.2005.07.015
Copyright © 2006 Elsevier Ltd All rights reserved.
New oscillation criteria for first order delay differential equations in a critical state
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J.C. Jianga, b, c, 
and L. Debnathd, 
,
aDepartment of Mathematics, Humanities and Science and Technology of Hunan, Loudi, Hunan, 417000, China
bSchool of Mathematics and Computing Technology, Central South University, Changsha, 410083, China
cDepartment of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Republic of Singapore
dDepartment of Mathematics, University of Texas-Pan American, Edinburg, TX 78539, USA
Received 21 June 2005;
accepted 7 July 2005.
Available online 3 March 2006.
Abstract
In this work, some new oscillation criteria are obtained for the first order delay differential equation
where
τ,τ1,τ2,…,τs are nonnegative numbers,
f is a function. Our results improve the known results from the literature, and an example of an application is given at the end.
Keywords: Differential equation; Oscillation; Critical state
A project supported by the Scientific Research Fund of Hunan Provincial Education Department of China and China Scholarship fund.
Corresponding author. Tel.: +1 956 381 3459; fax: +1 956 384 5091.
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