Mu Chen, Zhiting Xu
Abstract:
Employing Riccati techniques and the integral averaging method,
we establish interval oscillation criteria for the second-order
Emden-Fowler neutral delay differential equation
where
and
. The criteria
obtained here are different from most known criteria in the sense
that they are based on information only on a sequence of subintervals
of
,
rather than on the whole half-line. In particular,
two interesting examples that illustrate the importance of our results
are included.
Submitted January 5, 2007. Published April 22, 2007.
Math Subject Classifications: 34K40, 34K11, 34C10.
Key Words: Interval oscillation; neutral delay differential equation;
Emden-Fowler; Riccati technique; integral averaging method.
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Mu Chen School of Mathematical Sciences South China Normal University Guangzhou, 510631, China. Department of Mathematics, Zhanjiang Education College Zhanjiang, Guangdong 524037, China email: zjchenmu03@163.com |
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Zhiting Xu School of Mathematical Sciences South China Normal University Guangzhou, 510631, China email: xztxhyyj@pub.guangzhou.gd.cn |
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