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具有连续变量偏差分方程的比较定理及应用
引用本文:杨玉华. 具有连续变量偏差分方程的比较定理及应用[J]. 吉林大学学报(理学版), 2001, 0(2): 17-18
作者姓名:杨玉华
作者单位:华北电力大学计算科学与信息系,
摘    要:
建立关于具有连续变量非线性偏差分方程存在最终正解的充要条件 .给出系统振动的比较定理 ,利用比较定理讨论了一类非线性偏差分方程的振动性 ,给出简单的判别条件及证明 .

关 键 词:非线性偏差分方程  连续变量  比较定理  振动  最终正解
文章编号:0529-0279(2001)02-0017-02
修稿时间:2000-06-30

Comparison Theorem and Application of Non-linear Partial Difference Equations with Continuous Variables
YANG Yu-hua. Comparison Theorem and Application of Non-linear Partial Difference Equations with Continuous Variables[J]. Journal of Jilin University: Sci Ed, 2001, 0(2): 17-18
Authors:YANG Yu-hua
Abstract:
The present paper deals with the sufficient and necessary condition of the final positive solutions of non-linear partial-difference equations and first presents the comparison theorem. By means of the comparison theorem, and the oscillation of some non-linear partial difference equations is discussed and some concise conditions and authenticity are given.
Keywords:non-linear partial difference equation  continuous variables  comparison theorem  oscillation  final positive solution
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