| 具有多个临界和非临界错误的不完全转换的冷储备可修复系统解的存在和惟一性 |
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| 引用本文： | 张玉峰,金爱冬. 具有多个临界和非临界错误的不完全转换的冷储备可修复系统解的存在和惟一性[J]. 数学的实践与认识, 2004, 34(12): 137-143 |
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| 作者姓名： | 张玉峰 金爱冬 |
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| 作者单位： | 延边大学数学系,吉林,延吉,133002 |
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| 摘 要： | 研究了具有多个临界 (Critical)和非临界 (non-critical)错误 (errors)且系统故障后的修复时间服从任意分布的不完全转换的冷储备可修复系统 ,首先将系统转换为 N+M+2维 Banach空间下的 Volterra算子方程 ,得到了系统非负解存在且惟一 .
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| 关 键 词： | 可修复系统 积分-微分方程组 非负解 冗余 |
| 修稿时间： | 2004-09-16 |
The Existence and Uniqueness of Imperfect Switching of Cold Standby Repairable Systems with Multiple Non-critical and Critical Errors |
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| ZHANG Yufeng,JIN Aidong. The Existence and Uniqueness of Imperfect Switching of Cold Standby Repairable Systems with Multiple Non-critical and Critical Errors[J]. Mathematics in Practice and Theory, 2004, 34(12): 137-143 |
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| Authors: | ZHANG Yufeng JIN Aidong |
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| Abstract: | The cold standby repairable system with multiple noncritical and critical errors is discussed, which is imperfect switched. A failed system will be repired with repair times arbitrarily distributed. Firstly,the system is transformed into Volterra operator equations in an N M 2dimention Banach space, finally, the proof of existance and uniqueness of nonnegative solution of the system is given. |
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| Keywords: | repairable system integradifferential equations nonnegative solution redundency |
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