Local dynamics of an equation with a large state-dependent delay

被引：0

作者：

I. S. Kashchenko

S. A. Kashchenko

机构：

[1] Yaroslavl State University,

[2] National Research Nuclear University “MEPhI”,undefined

来源：

Doklady Mathematics | 2015年 / 92卷

关键词：

DOKLADY Mathematic; Local Dynamic; Critical Case; Negative Real Part; Nonlinear Parabolic Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The behavior of solutions to first- and second-order differential equations with a large state-dependent delay is analyzed in a neighborhood of equilibrium. In critical cases, it is shown that their behavior is determined by the global dynamics of a nonlinear parabolic equation with periodic or antiperiodic boundary conditions, which is known as a quasi-normal form. Asymptotic formulas are presented that relate the solutions of the quasi-normal form and the original equation.

引用

页码：581 / 584

页数：3

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