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具有连续变量的多时滞二阶中立型差分方程的振动准则
引用本文:孙书荣,滕厚山,韩振来,李秀珍.具有连续变量的多时滞二阶中立型差分方程的振动准则[J].应用数学与计算数学学报,2003,17(2):91-96.
作者姓名:孙书荣  滕厚山  韩振来  李秀珍
作者单位:1. 山东大学数学院,济南,250100;济南大学理学院,济南,250022
2. 济南大学理学院,济南,250022
3. 山东建筑工程学院数理系,济南,250014
基金项目:国家自然科学基金资助项目(编号 10071043).
摘    要:本文用分析的方法研究了一类具有连续变量的多时滞二阶中立型差分方程解的振动性,给出了该类方程解振动和差分算子振动的几个充分条件.

关 键 词:差分方程  振动性  最终正解  连续变量
修稿时间:2003年8月1日

Oscillatory Criteria of Second Order Neutral Several Delay Difference Equations with Continuous Arguments
Sun Shurong Teng Houshan Han Zhenlai Li Xiuzhen School of mathematics,Shandong University,Jinam, School of Sciences,Jinan University,Jinan.Oscillatory Criteria of Second Order Neutral Several Delay Difference Equations with Continuous Arguments[J].Communication on Applied Mathematics and Computation,2003,17(2):91-96.
Authors:Sun Shurong Teng Houshan Han Zhenlai Li Xiuzhen School of mathematics  Shandong University  Jinam  School of Sciences  Jinan University  Jinan
Institution:Sun Shurong Teng Houshan Han Zhenlai Li Xiuzhen School of mathematics,Shandong University,Jinam,250100 School of Sciences,Jinan University,Jinan,250022 Department of Mathematics and Physics,Shandong Institute of Architecture and Engineering,Jinan,250014
Abstract:By using the method of analysis, the oscillation for a class of the second order neutral several delay difference equations with continuous arguments is studied. Some sufficient conditions are obtained for oscillation of the solutions of the equations and the difference operator.
Keywords:difference equation  oscillation  eventually positive solution  continuous arguments
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