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

作　　者：Son TA CONG Thang Dang HUNG Oanh Le THI 

机构地区：[1]Department of Mathematics,University of Science,Vietnam National University 334 Nguyen Trai,Thanh Xuan,Hanoi,Vietnam [2]Faculty of Natural Sciences,Hong Duc University,565 Quang Trung,Dong Ve,Thanh Hoa,Vietnam

出　　处：《Acta Mathematica Sinica,English Series》2024年第9期2195-2212,共18页数学学报（英文版）

摘　　要：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.

关 键 词：C-semigroup Cauchy problem random normed modules L^(0)-Lipschitz 

分 类 号：O152.7[理学—数学]