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Oscillation Theorems of Systems of High Order Nonlinear Delay Partial Differential Equations
作者姓名:LUO Li-ping  OUYANG Zi-gen
作者单位:1. Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China; 2. Department of Mathematics, Nanhua University, Hengyang, Hunan 421001, China
摘    要:Partial functional differential equations come from many mathematical models in physics,biology,engineering and other fields,which have strongly practical background.The oscillation theory is the one of the important branches of qualitative theory of partial functional differential equations. Therefore,it is of great theoretical and practical value to research the oscillation of partial functional differential equations.The anthors study the oscillation of the systems of a class of high order nonlinear delay partial functional differential equations.By using Green's theorem and Riccati transformation,they obtain some sufficient criteria for oscillation of all solutions of the systems under two kinds of different boundary value conditions,which are illustrated by some examples.These results offer the foundation of mathematical theory for solving the practical problems of the above fields.

关 键 词:system  of  high  order  partial  differential  equation    nonlinear    delay      oscillation    Rieeati  transformation
修稿时间:2006/10/31 0:00:00

Oscillation Theorems of Systems of High Order Nonlinear Delay Partial Differential Equations
LUO Li-ping,OUYANG Zi-gen.Oscillation Theorems of Systems of High Order Nonlinear Delay Partial Differential Equations[J].Storage & Process,2007(2):130-135.
Authors:LUO Li-ping  OUYANG Zi-gen
Institution:1. Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China; 2. Department of Mathematics, Nanhua University, Hengyang, Hunan 421001, China
Abstract:Partial functional differential equations come from many mathematical models in physics,biology,engineering and other fields,which have strongly practical background.The oscillation theory is the one of the important branches of qualitative theory of partial functional differential equations. Therefore,it is of great theoretical and practical value to research the oscillation of partial functional differential equations.The anthors study the oscillation of the systems of a class of high order nonlinear delay partial functional differential equations.By using Green's theorem and Riccati transformation,they obtain some sufficient criteria for oscillation of all solutions of the systems under two kinds of different boundary value conditions,which are illustrated by some examples.These results offer the foundation of mathematical theory for solving the practical problems of the above fields.
Keywords:system of high order partial differential equation  nonlinear  delay  oscillation  Rieeati transformation
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