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doi:10.1016/0022-247X(90)90301-U 
Copyright © 1990 Published by Elsevier Inc.
Integral averaging techniques for the oscillation of second order nonlinear differential equations*1
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Received 22 September 1988.
Submitted by S. M. Meerkov
Available online 9 July 2004.
Abstract
In this paper, we enlist some known and establish some new oscillation criteria for the second order nonlinear differential equations of the form if(a(t) ψ(x(t))
(t))su
+ p(t)
(t) + q(t) f(x(t)) = 0, where the coefficients p(t) and q(t) are not assumed to be nonnegative for all large values of t. These criteria are obtained by using integral averaging techniques and can be applied to some special cases where other classical oscillation results are not applicable. A systematic study is attempted to extend, improve, and correlate a number of existing results.
Article Outline
*1 The research of this author has been supported by NSERC Grant 5293.
