非线性脉冲时滞双曲型偏微分方程的振动性

数学季刊 ›› 2009, Vol. 24 ›› Issue (3): 439-444.

非线性脉冲时滞双曲型偏微分方程的振动性

1. Department of Mathematics and Computational Science, Hengyang Normal University2. Department of Mathematics, Nanhua University

收稿日期:2006-05-12 出版日期:2009-09-30 发布日期:2023-06-30
作者简介: LUO Li-ping(1964- ), male, native of Leiyang, Hunan, a professor of Hengyang Normal University, engaging in oscillatory theory of partial functional differential equations.
基金资助:
Supported by the Natural Science Foundation of China(10471086)； Supported by the Science Research Foundation of Department of Education of Hunan Province(07C164)；

Oscillation of Nonlinear Impulsive Delay Hyperbolic Partial Differential Equations

1. Department of Mathematics and Computational Science, Hengyang Normal University2. Department of Mathematics, Nanhua University

Received:2006-05-12 Online:2009-09-30 Published:2023-06-30
About author: LUO Li-ping(1964- ), male, native of Leiyang, Hunan, a professor of Hengyang Normal University, engaging in oscillatory theory of partial functional differential equations.
Supported by:
Supported by the Natural Science Foundation of China(10471086)； Supported by the Science Research Foundation of Department of Education of Hunan Province(07C164)；

摘要/Abstract

摘要： In this paper, by making use of the calculous technique and some results of the impulsive differential inequality, oscillatory properties of the solutions of certain nonlinear impulsive delay hyperbolic partial differential equations with nonlinear diffusion coefficient are investigated. Sufficient conditions for oscillations of such equations are obtained.

关键词: nonlinear, impulse, delay, hyperbolic partial differential equations, oscillation

Abstract: In this paper, by making use of the calculous technique and some results of the impulsive differential inequality, oscillatory properties of the solutions of certain nonlinear impulsive delay hyperbolic partial differential equations with nonlinear diffusion coefficient are investigated. Sufficient conditions for oscillations of such equations are obtained.

Key words: nonlinear, impulse, delay, hyperbolic partial differential equations, oscillation

中图分类号:

O175.27

罗李平, 彭白玉, 欧阳自根. 非线性脉冲时滞双曲型偏微分方程的振动性[J]. 数学季刊, 2009, 24(3): 439-444.

LUO Li-ping, PENG Bai-yu, OUYANG Zi-gen. Oscillation of Nonlinear Impulsive Delay Hyperbolic Partial Differential Equations [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(3): 439-444.

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