高阶中立型偏微分系统的振动性分析(英文)  

Oscillation Analysis of High-order Neutral Partial Differential Systems

作　　者：罗李平[1] 罗振国[1] 曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《衡阳师范学院学报》2013年第3期1-9,共9页Journal of Hengyang Normal University

基　　金：Project supported by Hunan Provincial Natural Science-Hengyang United Foundation of China(11JJ9002);the construct program of the key discipline in Hunan province

摘　　要：研究了一类具连续时滞和非线性扩散项的高阶中立型偏微分系统的边值问题,利用积分平均技巧和Riccati方法将高维振动问题转化为一维振动问题,建立了该类边值问题在Dirichlet边界条件下所有解振动的若干新的充分判据。A class of boundary value problems of high-order neutral partial differential systems with continuous delay and nonlinear diffusion term are investigated. By using the integral average technique and Riccati＇s method, the high- dimensional oscillatory problems are changed into the one-dimensional ones, and some new sufficient criteria for os- cillation of all solutions of such boundary value problems are established under the Dirichlet＇s boundary condition.

关 键 词：高阶偏微分系统 边值问题 振动性 连续时滞 非线性扩散项 

分 类 号：O175.4[理学—数学]