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Let L be the generating operator of system (1.2).
Denote L as the generating operator of system (1.4).
In order to challenge the problem, this paper proposes a new method that is based on an LZ-transform of the discrete-state continuous-time Markov process and on Ushakov׳s Universal Generating Operator.
In order to solve this problem, the paper proposes to use a new method based on an LZ-transform of the discrete-state continuous-time Markov process, and on Ushakov's Universal Generating Operator.
UGF technique is to find MSS reliability measures by using Ushakov's Universal generating Operator (UGO) Ω f acting on the collection of the individual UGFs expression of all the individual random variables [10].
In [9] it was shown that in order to find Lz-transform of the resulting DSCT Markov process G t), which was the single-valued function (G_t=f(G_{1}(t),G_{2}(t),ldots,G_{n}(t))) of n independent DSCT Markov processes G j (t), (j=1,2,ldots,n ), one can apply Ushakov's Universal Generating Operator (UGO) to all individual Lz-transforms Lz{G j (t)} over all time points ( t ge 0 ).
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This in turn is expected to constrain intermolecular interactions in the CytR-CRP-DNA complex, thus generating operator-specific effects on repression and induction of transcription.
A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered.
Wang et al. in [19] have studied the existence and uniqueness of the mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions.
This paper concerns the structure of the predual of certain singly generated operator algebras.
According to the rules of behaviors, this module will generate operator actions.
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