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

  • Son Ta Cong,
  • Thang Dang Hung,
  • Oanh Le Thi

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.