Functional Differential Equations in the Space of Functions of Bounded Variation

被引：5

作者：

Sesekin, A. N. ^{[1
]}

Fetisova, Yu. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Ural Div, Ul S Kovalevskoi 16, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 269卷

关键词：

generalized action; discontinuous solution; functional differential equation; delay; IMPULSIVE CONTROL-SYSTEMS;

D O I：

10.1134/S0081543810060210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For nonlinear systems of functional differential equations with a generalized action on the right-hand side, the notion of a solution based on the closure of smooth solutions in the space of functions of bounded variation is formalized. Sufficient conditions for the existence and uniqueness of the solution are obtained. For linear systems with distributed delay and generalized action in the system matrix, conditions for the existence of a solution and the Cauchy formula for representing the solution are derived.

引用

页码：S258 / S265

页数：8

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