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| 1 | Semigroup Method for a Mathematical Model in Reliability Analysis显示文摘The system which consists of a reliable machine, an unreliable machine and a storage buffer with infinite many workpieces has been studied. The existence of a unique positive time-dependent solution of the model corresponding to the system has been obtained by using C 0-semigroup theory of linear operators in functional analysis. | Geni Gupur 1,3 , LI Xue-zhi 2,3 1.Department of Mathematics, Xinjiang University, Urumqi 830046,China2. Department of Mathematics, Xinyang Teachers College, Henan 464000, China3. Academy of Mathematics and System Sciences, Chinese Academy of Sci | 2001 | Journal of Systems Science and Systems Engineering2001，13，2： | 12 |
| 2 | Existence and Uniqueness of Endemic States for the Age-structured MSEIR Epidemic Model显示文摘The existence and uniqueness of positive steady states for the age-structured MSEIR epidemic model with age-dependent transmission coefficient is considered. Threshold results for the existence of endemic states are established; under certain conditions, uniqueness is also shown. | Geni Gupur | 2002 | Acta Mathematicae Applicatae Sinica2002，18，3： | 5 |
| 3 | Time-dependent analysis for a queue modeled by an infinite system of partial differential equations显示文摘By studying the spectrum of the underlying operator corresponding to the exhaustive-service M/G/1 queueing model with single vacations we prove that the time-dependent solution of the model strongly converges to its steady-state solution. | GUPUR Geni | 2012 | Science China Mathematics2012，55，5： | 4 |
| 4 | WELL-POSEDNESS OF THE MODEL DESCRIBING A REPAIRABLE,STANDBY,HUMAN & MACHINE SYSTEM显示文摘By using the strong continuous semigroup theory of linear operators we prove the existence of a unique positive time-dependent solution of the model describing a re-pairable, standby, human & machine system. | Geni Gupur | 2003 | Journal of Systems Science & Complexity2003，16，4： | 3 |
| 5 | Spectrum of the Operator Corresponding to the M/M/1 Queueing Model with Vacations and Multiple Phases of Operation and Application显示文摘We describe the point spectrum of the operator which corresponds to the M/M/1 queueing model with vacations and multiple phases of operation.Then by using this result we prove that the essential growth bound of the C0-semigroup generated by the operator is 0,the C0-semigroup is not compact,not eventually compact,even not quasi-compact.Moreover,we verify that it is impossible that the time-dependent solution of the M/M/1 queueing model with vacations and multiple phases of operation exponentially converges to its steady-state solution.In addition,we obtain the spectral radius and essential spectral radius of the C0-semigroup.Lastly,we discuss other spectrum of the operator and obtain a set which belongs to the union of its continuous spectrum and residual spectrum. | Nurehemaiti YIMING Geni GUPUR | 2020 | Acta Mathematica Sinica,English Series2020，36，10： | 1 |
| 6 | Semigroup method for M/G/1 queueing system with exceptional scrvice time lot the first customer in each busy period显示文摘 | Geni Gupur | 2002 | Indian Journal of Mathematics2002，44，： | 1 |
| 7 | Well-posedness of M/G/1 queueing model with second optional service显示文摘 | ZHAO Huibo Geni Gupur Muyidin Helil | | 0，，： | 1 |
| 8 | Asymptotic analysis of the M/G/1 queueing system with additional optional service and no waiting capacity显示文摘 | Ma Yuan-Yuan Geni Gupur | 2009 | International Journal of Pure and Applied Mathematics2009，51，3： | 1 |
| 9 | Semigroup method for M/G/1 retrial queue with general retrial times 显示文摘 | Geni Gupur | 2005 | International Journal of Pure and Applied Mathematics2005，18，： | 1 |
| 10 | Analysis of the M/G/1 retrial queueing model with server breakdowns 显示文摘 | Geni Gupur | 2010 | Journal of Pseudo-Differential Operators and Applications2010，1，： | 1 |
| 11 | Well-posedness of M/G/1 queueing model with single vacations显示文摘 | Geni Gupur | | 0，，： | 1 |
| 12 | Asymptotic property of the solution of exhaustive-service M/M/1 queueing model with single vacations显示文摘 | Geni Gupur Guo Bao-zhu | | 0，，： | 1 |
| 13 | An eigenvalue of exhaustive-service M/M/1 queueing model with single vacations显示文摘 | Geni Gupur | | 0，，： | 1 |
| 14 | Other eigenvalues of the exhaustive-service M/M/1 queueing model with single vacations显示文摘 | Cheng Zhi-song Geni Gupur | | 0，，： | 1 |
| 15 | Analysis of the M/G/1 retrial queueing model with server breakdowns显示文摘 | Geni Gupur | | 0，，： | 1 |
| 16 | Functional analysis method in queueing theory显示文摘 | Geni Gupur Li Xue-zhi Zhu Guang-tian | 2001 | Rearch Information Ltd Hertfordshire2001，3566，： | 1 |
| 17 | Semigroup approach of a repairable queueing system with three kinds of states 显示文摘 | Muyidin Helil Geni Gupur Rena Ehmet | 2009 | International Journal of Pure and Applied Mathematics2009，50，3： | 1 |
| 18 | Existence and uniqueness of epidemic states for the age-structured MSEIR epidemic model显示文摘 | Xue-zhi Li Geni Gupur Guang-tian Zhu | 2002 | Acta Mathematical Applicatae Sinica English Series2002，18，3： | 1 |
| 19 | Semigroup method for M/G/1 queueing system with exceptional service time for the first customer in each busy period显示文摘 | Geni Gupur | 2002 | Indian Journal of Mathematics2002，44，2： | 1 |
| 20 | Asymptotic property of the solution of M/M/1 queueing system with exceptional service time for the first customer in each busy period 显示文摘 | Geni Gupur | 2003 | International Journal of Differential Equations and Applications2003，8，： | 1 |
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