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| 摘要: |
| 本文研究了一部件冷贮备的三部件可修系统非负时间依赖解的存在唯一性. 首先, 对应于此三部件系统的数学模型转化为 Banach 空间中的抽象 Cauchy 问题. 然后, 利用泛函分析中的强连续算子半群理论证明此三部件可修系统模型非负时间依赖解的存在唯一性. |
| 关键词: 一部件冷贮备的三部件可修系统 $C_0-$半群 dispersive 算子 |
| DOI： |
| 分类号:O177.92 |
| 基金项目:新疆开放大学研究团队项目资助 |
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| Existence and Uniqueness of the Nonnegative Time—Dependent Solution of a Three Unit System with One Cold Standby Unit |
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| Abstract: |
| In this paper, we study the existence and uniqueness of the nonnegative time-dependent solution of a three unit system with one cold standby unit. Firstly, by choosing suitable state space we transform the three unit system model into an abstract Cauchy problem. Then, by using the strong continuous semigroup theory in functional analysis we prove the existence and uniqueness of the nonnegative time—dependent solution of the model . |
| Key words: Three unit system with one cold standby unit $C_0-$ semigroup dispersive operator. |
