Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions

被引：3

作者：

Gu, XH ^{[1
]}

Li, M ^{[1
]}

Huang, FL ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

STUDIA MATHEMATICA | 2002年 / 150卷 / 02期

关键词：

semigroup of class C-o; C-semigroup; C-cosine function; integrated semigroup; almost periodicity;

D O I：

10.4064/sm150-2-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z(0), in case of R(C) being non-dense. Analogous results axe obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.

引用

页码：189 / 200

页数：12

共 21 条

[1]

[Anonymous], 2011, 2 ORDER LINEAR DIFFE

[2] CHARACTERIZATIONS OF ALMOST PERIODIC STRONGLY CONTINUOUS GROUPS AND SEMIGROUPS [J].

BART, H ;

GOLDBERG, S .

MATHEMATISCHE ANNALEN, 1978, 236 (02) :105-116

[3] CHARACTERIZATIONS OF ALMOST PERIODIC STRONGLY CONTINUOUS COSINE OPERATOR-FUNCTIONS [J].

CIORANESCU, I .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 116 (01) :222-229

[4]

CORANESCU I, 1991, J MAT ANAL APPL, V154, P238

[5]

DAVIES EB, 1987, P LOND MATH SOC, V55, P181

[6] C-SEMIGROUPS AND STRONGLY CONTINUOUS SEMIGROUPS [J].

DELAUBENEELS, R .

ISRAEL JOURNAL OF MATHEMATICS, 1993, 81 (1-2) :227-255

[7] INTEGRATED SEMIGROUPS, C-SEMIGROUPS AND THE ABSTRACT CAUCHY-PROBLEM [J].

DELAUBENFELS, R .

SEMIGROUP FORUM, 1990, 41 (01) :83-95

[8] C-SEMIGROUPS AND THE CAUCHY-PROBLEM [J].

DELAUBENFELS, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 111 (01) :44-61

[9] Stability and almost periodicity of solutions of ill-posed abstract Cauchy problems [J].

deLaubenfels, R ;

Phong, VQ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (01) :235-241

[10]

DELAUBENFELS R, 1995, J DIFFERENTIAL INTEG, V8, P1477

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