Numerical Approximations of Impulsive Delay Differential Equations

被引：1

作者：

Din, Qamar ^{[1
]}

Donchev, Tzanko ^{[1
]}

Kolev, Dimitar ^{[2
]}

机构：

[1] Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Univ Chem Technol & Met, Dept Math, BU-1756 Sofia, Bulgaria

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2013年 / 34卷 / 07期

关键词：

Discrete approximations; Euler method; Impulsive delay differential equations; 34A60; 49J24; SET;

D O I：

10.1080/01630563.2012.738271

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article deals with numerical approximations of impulsive delay differential equations with a non-fixed time of impulses. The right-hand side of the approximation is assumed to be Lipschitz with respect to the norm of the measurable functions, which allows us to estimate the distance between functions with different times of jumps. Illustrative examples are provided.

引用

页码：728 / 740

页数：13

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