A PRINCIPLE OF LINEARIZED STABILITY FOR NONLINEAR EVOLUTION-EQUATIONS

被引：23

作者：

KATO, N

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 347卷 / 08期

关键词：

LINEARIZED STABILITY; M-ACCRETIVE OPERATORS; PROTO-DERIVATIVES; NONLINEAR EVOLUTION EQUATIONS; POPULATION DYNAMICS; FUNCTIONAL DIFFERENTIAL EQUATIONS;

D O I：

10.2307/2154758

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a principle of linearized stability of stationary solutions to nonlinear evolution equations in Banach spaces. The well-known semilinear case is shown to fit into our framework. Applications to nonlinear population dynamics and to functional differential equations are also considered.

引用

页码：2851 / 2868

页数：18

共 19 条

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Barbu, 1976, NONLINEAR SEMIGROUPS

[2]

Brezis H, 1973, LECT NOTES MATH, V5

[3]

DESCH W, 1986, LECT NOTES MATH, V1223, P61

[4] LOCAL-CONTROLLABILITY AND INFINITESIMAL GENERATORS OF SEMIGROUPS OF SET-VALUED MAPS [J].