非线性中立型抛物微分方程解的振动性

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 342-349.

非线性中立型抛物微分方程解的振动性

1. Department of Mathematics, Nanyang Teacher's College, Nanyang 473061, China; 2. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

收稿日期:2003-12-29 出版日期:2005-12-30 发布日期:2024-01-02
作者简介:LlU Ke-ying(1978-),female,native of Fangcheng,Henan,an assistant of Nanyang Teacher's College,engages in partial differential equations.
基金资助:
Supported by the National Natural Science Foundation of China(40373003, 40372121)； Supported by the Youth Foundation of Cina University of Geosciences(CUGQNL0517)；

Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations

1. Department of Mathematics, Nanyang Teacher's College, Nanyang 473061, China; 2. School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

Received:2003-12-29 Online:2005-12-30 Published:2024-01-02
About author:LlU Ke-ying(1978-),female,native of Fangcheng,Henan,an assistant of Nanyang Teacher's College,engages in partial differential equations.
Supported by:
Supported by the National Natural Science Foundation of China(40373003, 40372121)； Supported by the Youth Foundation of Cina University of Geosciences(CUGQNL0517)；

摘要/Abstract

摘要： This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the essential difference between this type and that without delays.

关键词: oscillation, delay, parabolic, nonlinear

Abstract: This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the essential difference between this type and that without delays.

Key words: oscillation, delay, parabolic, nonlinear

中图分类号:

O175.2

刘克英, 徐少贤, 刘安平. 非线性中立型抛物微分方程解的振动性[J]. 数学季刊, 2005, 20(4): 342-349.

LIU Ke-ying, XU Shao-xian, LIU An-ping. Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 342-349.

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