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冷备状态下两个相同部件并联的可修系统的进一步研究 被引量:1

Further Research of the Cold Standby Parallel System Consisting of Two Repairable Units
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摘要 首先当μ(x)满足0<■≤μ(x)≤■<∞时证明该系统主算子生成的C0-半群是拟紧算子,然后此结果与已有的结果结合后推出该系统的解是指数稳定的,最后当μ(x)=μ时研究该主算子的所有特征值. First we prove that the Co-semigroup generated by the operator corresponding to the repairable system consisting of two identical units is a quasi-compact operator under the assumption 0〈 ≤μ(x)≤μ^-〈∞ , then by combining the result with other known results we deduce that the time-dependent solution to the system is exponentially stable, finally we discuss all eigenvalues of the operator.
出处 《新疆大学学报(自然科学版)》 CAS 2008年第4期416-420,共5页 Journal of Xinjiang University(Natural Science Edition)
关键词 C-半群 拟紧算子 特征值 C0^- semigroup quasi-compact eigenvalue
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