具高阶Laplace算子的偶数阶阻尼偏微分方程解的振动准则

J4 ›› 2010, Vol. 45 ›› Issue (12): 78-82.

具高阶Laplace算子的偶数阶阻尼偏微分方程解的振动准则

曾云辉

衡阳师范学院数学与计算科学系, 湖南衡阳 421008

收稿日期:2009-12-07 出版日期:2010-12-16 发布日期:2011-03-16
作者简介:曾云辉(1978-),男,讲师,硕士,研究方向为偏微分方程定性理论.Email:chj8121912@sina.com
基金资助:
湖南省教育厅基金资助项目(07C165);衡阳师范学院青年科学基金资助项目(10A42)

Oscillation criteria for even order neutral damped partial differential equations with high order Laplace operator

ZENG Yun-hui

Department of Mathematics and Computional Science, Hengyang Normal University, Hengyang 421008, Hunan, China

Received:2009-12-07 Online:2010-12-16 Published:2011-03-16

摘要/Abstract

摘要：

考虑了一类具连续分布滞量和高阶Laplace算子的偶数阶中立型阻尼偏微分方程,通过利用积分平均技巧、广义Riccati变换和引入参数函数,获得了该类方程在Robin与Dirichilet边值条件下解振动的充分条件。

关键词: 偶数阶;阻尼项;Laplace算子

Abstract:

A class of even order neutral damped partial differential equations with continuous distribution delay and high order Laplace operator are considered. Some sufficient conditions for each solution to be oscillation are obtained by using the integral averaging technique, the generalized Riccati transformation and introducing parameter function under Robin and Dirichilet boundary conditions.

Key words: even order; damped term; Laplace operator

曾云辉. 具高阶Laplace算子的偶数阶阻尼偏微分方程解的振动准则[J]. J4, 2010, 45(12): 78-82.

ZENG Yun-hui. Oscillation criteria for even order neutral damped partial differential equations with high order Laplace operator[J]. J4, 2010, 45(12): 78-82.

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