Haihua Liang
Abstract:
In this article, we study the oscillation and asymptotic behavior of solutions
to the nonlinear delay differential equation
By using a generalized Riccati transformation and an integral averaging technique,
we establish sufficient conditions for all solutions to oscillate, or to
converge to zero. Especially when the delay has the form
,
we provide two convenient oscillatory criteria.
Some examples are given to illustrate our results.
Submitted June 27, 2014. Published September 3, 2014.
Math Subject Classifications: 34K11, 34K25.
Key Words: Higher order differential equation; delay differential equation,
asymptotic behavior; oscillation.
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Haihua Liang Department of Computer Science Guangdong Polytechnic Normal University Guangzhou, Guangdong 510665, China email: haiihuaa@tom.com |
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