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一阶多时超微分方程解的零点距估计

发表时间:2011-01-15  浏览量:1590  下载量:692
全部作者: 汪会民,蒋威
作者单位: 安徽大学数学科学学院
摘 要: 通过研究一阶多时超微分不等式解的性质,获得微分不等式正解的最大存在区间。在此基础上,讨论一阶多时超微分方程解的零点距,并给出相应的定理。通过研究时滞微分不等式的性质对定理进行证明,并得出2个重要的引理结论。引理的结论在定理证明中起到了重要作用。最后,为说明这些定理的正确性,给出2个例子,并利用Matlab计算例子得出一些重要的数据,从而说明了定理的实用性。
关 键 词: 应用数学;一阶;时超;零点;距估计
Title: Distance estimation for zeros of solutions of first-order multi-delay differential equations
Author: WANG Huimin, JIANG Wei
Organization: School of Mathematical Sciences, Anhui University
Abstract: This paper studies the properties of solutions of first-order multi-delay differential inequalities, and obtains the largest existence interval of positive solution of differential inequality. On this basis, the paper discusses the zero distance of solutions of first-order multi-delay differential equations, and gives the corresponding theorems. The theorems are proved by studying the nature of delay differential inequality and two important conclusions are obtained. The conclusions using lemma play an important role in the proof of the theorems. Finally, to illustrate the correctness of these theorems, the paper gives two examples. The examples are calculated by using Matlab and some important data are obtained, which show the practicality of the theorem.
Key words: applied mathematics; first-order; delay; zero; distance estimation
发表期数: 2011年1月第1期
引用格式: 汪会民,蒋威. 一阶多时超微分方程解的零点距估计[J]. 中国科技论文在线精品论文,2011,4(1):4-10.
 
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