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
收藏
页码：65 / 87
页数：23
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