ON GENERATORS OF INTEGRATED C-SEMIGROUPS AND C-COSINE FUNCTIONS

被引：37

作者：

LI, YC ^{[1
]}

SHAW, SY ^{[1
]}

机构：

[1] NATL CENT UNIV,DEPT MATH,CHUNGLI,TAIWAN

来源：

SEMIGROUP FORUM | 1993年 / 47卷 / 01期

关键词：

D O I：

10.1007/BF02573738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following two theorems are proved: (1) the generator of an exponentially equicontinuous n-times integrated C-cosine function also generates an exponentially equicontinuous [(n + 1)/2]-times integrated C-semigroup; (2) If A and -A are generators of exponentially equicontinuous n-times integrated C-semigroups, then A2 generates an exponentially equicontinuous n-times integrated C-cosine function.

引用

页码：29 / 35

页数：7

共 12 条

[1] VECTOR-VALUED LAPLACE TRANSFORMS AND CAUCHY-PROBLEMS [J].

ARENDT, W .

ISRAEL JOURNAL OF MATHEMATICS, 1987, 59 (03) :327-352

[2]

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

[3]

DELAUBENFELS R, IN PRESS J LONDON MA

[4]

DELAUBENFELS R, IN PRESS J FUNCTIONA

[5]

Fattorini H.O., 1985, 2 ORDER LINEAR DIFFE, V108

[6] ORDINARY DIFFERENTIAL EQUATIONS IN LINEAR TOPOLOGICAL SPACES .I. [J].

FATTORINI, HO .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 5 (01) :72-+

[7]

Goldstein J. A., 1980, Houston Journal of Mathematics, V6, P365

[8] INTEGRATED SEMIGROUPS [J].

KELLERMAN, H ;

HIEBER, M .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 84 (01) :160-180

[9]

LI YC, 1991, INTEGRATED C SEMIGRO

[10]

LI YC, 1991, INTEGRATED C COSINE

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