Abstract Volterra equations in locally convex spaces

被引：22
作者：
Kostic, Marko [1 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21125, Serbia
来源：
SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 09期
关键词：
abstract Volterra equation; locally convex space; (a; k)-regularized C-resolvent family; well-posedness; OPERATORS; SEMIGROUPS; EVOLUTION; ULTRADISTRIBUTION; APPROXIMATION; GENERATION; THEOREMS; MATRICES;
D O I：
10.1007/s11425-012-4477-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A general class of (a, k)-regularized C-resolvent families is one of efficient research tools for dealing with non-degenerate abstract Volterra equations of scalar type. The main purpose of this expository paper is to provide a detailed analysis of the above class in sequentially complete locally convex spaces.
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页码：1797 / 1825
页数：29
相关论文
共 65 条
[1]  
Albanese A.A., 2002, RIV MAT UNIV PARMA, V1, P19
[2]   Trotter-Kato theorems for bi-continuous semigroups and applications to Feller semigroups [J].
Albanese, AA ;
Mangino, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) :477-492
[3]  
[Anonymous], 1972, NACHR AKAD WISS GOTT
[4]  
[Anonymous], ANN SCUOLA NORM SUP
[5]  
[Anonymous], THESIS NATL CENTRAL
[6]  
[Anonymous], 1993, MONOGR MATH
[7]  
[Anonymous], THESIS LOUISIANA STA
[8]   Vector-valued holomorphic functions revisited [J].
Arendt, W ;
Nikolski, N .
MATHEMATISCHE ZEITSCHRIFT, 2000, 234 (04) :777-805
[9]   LOCAL INTEGRATED SEMIGROUPS - EVOLUTION WITH JUMPS OF REGULARITY [J].
ARENDT, W ;
ELMENNAOUI, O ;
KEYANTUO, V .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (02) :572-595
[10]  
Arendt W., 2001, Monographs in Mathematics, VVolume 96
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