EXISTENCE RESULTS FOR SOME HIGHER-ORDER EVOLUTION EQUATIONS WITH TIME-DEPENDENT UNBOUNDED OPERATOR COEFFICIENTS

被引：0

作者：

Diagana, Toka ^{[1
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 01期

关键词：

evolution family; higher-order evolution equations; exponential dichotomy; exponentially stable; Acquistapace-Terreni; damped second-order differential equation; bean equation; C-(n)-pseudo-almost automorphic; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; ANTIPERIODIC SOLUTIONS; AUTOMORPHIC SOLUTIONS; PSEUDO;

D O I：

10.1515/ms-2015-0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish the existence of C-(n)-pseudo almost automorphic mild solutions to some n-order evolution equations involving not only time-dependent operator coefficients but also pseudo almost automorphic forcing terms. To illustrate our abstract results, the existence of C-(2)-pseudo almost automorphic mild solutions to some damped second-order nonautonomous differential equations, which among other things model the nonautonomous damped beam equation, will be discussed. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：121 / 140

页数：20

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