1 citations · 1 across the 6 of their papers we have counts for
6 papers
-existence families, -semigroups and their associated abstract Cauchy problems in complete random normed modules
Xia Zhang, Leilei Wei, Ming Liu
In this paper, we first introduce the notion of a (mild) -existence family in complete random normed modules, then we prove that a (mild) -existence family can guarantee the…
A Laplace transform approach to -semigroups on a -complete random normed module
Xia Zhang, Leilei Wei, Ming Liu
In this paper, we first introduce the notion of the Laplace transform for an abstract-valued function from to a -complete random normed…
A dual representation theorem on the conditional Orlicz space generated from a random normed module
Xia Zhang, Ke Qian, Ming Liu
In this paper, we first introduce the notion of a random Orlicz function, and further present the conditional Orlicz space generated from a random normed module. Second, we prove t…
The Radon-Nikodm property of -Banach spaces and the dual representation theorem of -Bochner function spaces
Xia Zhang, Xiangle Yan, Ming Liu
In this paper, we first introduce --measurable functions and -Bochner integrable functions on a finite measure space and give an $\m…
Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces
Ming Liu, Lingfei Dai, Xia Zhang
This paper studies a class of impulsive neutral stochastic partial differential equations in real Hilbert spaces. The main goal here is to consider the Trotter-Kato approximations…
The Hille-Yosida generation theorem for almost surely bounded --semigroups of continuous module homomorphisms
Xia Zhang, Ming Liu, Tiexin Guo
In this paper, we first study some properties peculiar to --semigroups of continuous module homomorphisms and give a characterization for such a --semigroup to be alm…