| M/Mk,B/1算子的豫解集 |
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| 引用本文： | 艾尼·吾甫尔. M/Mk,B/1算子的豫解集[J]. 应用泛函分析学报, 2004, 6(2): 106-121 |
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| 作者姓名： | 艾尼·吾甫尔 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 基金项目： | Supported by the Science Foundation of Xinjiang University and Tianyuan MathematicsFoundation(10 2 2 6 0 0 7) |
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| 摘 要： | 首先运用Phillips定理和Fattorini定理证明M／M^k，^B／1排队模型概率瞬态解的存在唯一性，然后通过研究对应于M／M^k，^B／1排队模型的主算子的共轭算子的豫解集得到该主算子的豫解集：在虚轴上除了零点外其它所有点都属于该主算子的豫解集．
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| 关 键 词： | Phillips定理 Fattorini定理 M／M^k ^B／1排队模型 豫解集 概率瞬态解 Dispersive算子 保守算子 共轭算子 |
Resolvent Set of the M/Mk,B/1 Operator |
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| Geni Gupur. Resolvent Set of the M/Mk,B/1 Operator[J]. Acta Analysis Functionalis Applicata, 2004, 6(2): 106-121 |
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| Authors: | Geni Gupur |
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| Affiliation: | Geni Gupur College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China |
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| Abstract: | In this paper, first by using the Phillips theorem and the Fattorini theorem we prove the existence of a unique positive time-dependent solution of the M/M~(k,B)/1 queueing model which satisfies probability condition. Then by considering resolvent set of adjoint operator of the (M/M~(k,B)/1) operator, we study resolvent set of the M/M~(k,B)/1 operator and prove that all points on the imaginary axis except for zero belong to the resolvent of the M/M~(k,B)/1 operator. |
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| Keywords: | dispersive operator conservative operator adjoint operator |
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