应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
结论推广了线性算子半群的范数连续性质保持,丰富和完善了非线性算子半群的理论。
The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.
利用有界线性算子半群,引入了一新的局部凸向量拓扑,并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
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