| 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 |
|
| 点击此处可从《保鲜与加工》浏览原始摘要信息 |
| 点击此处可从《保鲜与加工》下载免费的PDF全文 |
|
