LOCAL K-CONVOLUTED C-GROUPS AND ABSTRACT CAUCHY PROBLEMS

被引：0
|
作者：
Kuo, Chung-Cheng [1 ]
机构：
[1] Fu Jen Catholic Univ, Dept Math, New Taipei 24205, Taiwan
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 05期
关键词：
Local K-convoluted C-group; generator; subgenerator; abstract Cauchy problem; TIMES INTEGRATED SEMIGROUPS; ALPHA; PERTURBATION; THEOREMS;
D O I：
10.46793/KgJMat2405.655K
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. We first present a new form of a local K-convoluted C-group on a Banach space X, and then deduce some basic properties of a nondegenerate local K-convoluted C-group on X and some generation theorems of local K-convoluted C-groups, which can be applied to obtain some equivalence relations between the generation of a nondegenerate local K-convoluted C-group on X with subgenerator A and the unique existence of solutions of the abstract Cauchy problem ACP(A, f, x).
引用
收藏
页码：655 / 671
页数：17
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