ALMOST PERIODIC SOLUTIONS OF EVOLUTION EQUATIONS

被引：1

作者：

Couchouron, Jean-Francois ^{[1
]}

Kamenskii, Mikhail ^{[2
]}

Ponomarev, Sergey ^{[2
]}

机构：

[1] Univ Lorraine, Math Inst Elie Cartan, F-57045 Metz, France

[2] Voronezh State Univ, Dept Math, 1 Univ Skaya Pl, Voronezh 394018, Russia

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2017年 / 50卷 / 01期

关键词：

Dissipative operator; almost periodic function; evolution operator; semi-group; boundary value problem;

D O I：

10.12775/TMNA.2017.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We state existence theorems for almost periodic solutions of evolution problems, namely, quasi-autonomous problems and more generally, time dependent evolution equations. We apply these theorems firstly, to a boundary value quasilinear hyperbolic equation of first order, and secondly, to a boundary value quasi-parabolic equation.

引用

页码：65 / 87

页数：23

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