指数有界 C-半群与完全随机规范模中的考希初值问题

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2024-05-20 DOI:10.1007/s10114-024-2584-5

Son Ta Cong, Thang Dang Hung, Oanh Le Thi

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引用次数: 0

摘要

本文引入并研究了完整随机正态（RN）模块上连续模块同态的 C-半群概念。建立了关于完整 RN 模块中指数有界连续模块同态 C-半群的 Cauchy 问题解的存在性和唯一性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponentially Bounded C-semigroup and the Cauchy Initial Value Problems in Complete Random Normed Modules

In this paper, the notion of C-semigroup of continuous module homomorphisms on a complete random normal (RN) module is introduced and investigated. The existence and uniqueness of solution to the Cauchy problem with respect to exponentially bounded C-semigroups of continuous module homomorphisms in a complete RN module are established.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.