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具连续分布变元的向量抛物型方程振动性的新准则(英文)
引用本文:李元旦,罗李平,俞元洪.具连续分布变元的向量抛物型方程振动性的新准则(英文)[J].数学季刊,2011(2):260-264.
作者姓名:李元旦  罗李平  俞元洪
作者单位:Department of Mathematics and Computational Science;Hengyang Normal University;Academy of Mathematics and Systems Science;Chinese Academy of Sciences;
基金项目:Supported by the Science Research Foundation of Administration of Education of Hunan Province(07C164)
摘    要:The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.

关 键 词:H-oscillation  vector  parabolic  equation  continuous  distribution  argument

New Criteria for Oscillation of Vector Parabolic Equations with Continuous Distribution Arguments
LI Yuan-dan,LUO Li-ping,YU Yuan-hong.New Criteria for Oscillation of Vector Parabolic Equations with Continuous Distribution Arguments[J].Chinese Quarterly Journal of Mathematics,2011(2):260-264.
Authors:LI Yuan-dan  LUO Li-ping  YU Yuan-hong
Institution:LI Yuan-dan1,LUO Li-ping1,YU Yuan-hong2(1.Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002,China,2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)
Abstract:The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Diric...
Keywords:H-oscillation  vector  parabolic equation  continuous distribution argument  
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