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一类具连续分布滞量的高阶非线性中立型偏微分方程的振动准则
引用本文:罗李平,欧阳自根.一类具连续分布滞量的高阶非线性中立型偏微分方程的振动准则[J].辽宁师范大学学报(自然科学版),2007,30(1):15-19.
作者姓名:罗李平  欧阳自根
作者单位:1. 衡阳师范学院,数学系,湖南,衡阳,421008
2. 南华大学,数学系,湖南,衡阳,421001
基金项目:国家自然科学基金资助项目(10471086);湖南省自然科学基金资助项目(05JJ40008)
摘    要:研究一类具连续分布滞量的偶数阶非线性偏泛函微分方程的边值问题,给出了该类方程在三类边值条件下解的振动准则.

关 键 词:非线性中立型  偏泛函微分方程  振动性  连续分布滞量
文章编号:1000-1735(2007)01-0015-05
修稿时间:2006-09-18

Oscillatory criteria for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay
LUO Li-ping,OUYANG Zi-gen.Oscillatory criteria for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay[J].Journal of Liaoning Normal University(Natural Science Edition),2007,30(1):15-19.
Authors:LUO Li-ping  OUYANG Zi-gen
Institution:1. Department of Mathematics, H engyang Normal University, H engyang 421008, China; 2. Department of Mathematics, Nanhua University, Hengyang 421001, China
Abstract:In this paper, we study a class of boundary value problems of even order nonlinear neutral partial functional differential equations with continuous distribution delay. The oscillatory criteria is given for these equations under three classes of boundary conditions.
Keywords:nonlinear neutral  partial functional differential equation  oscillation  continuous distribution delay
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