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Spectrum of the Operator Corresponding to the M/M/1 Queueing Model with Vacations and Multiple Phases of Operation and Application被引量：1
《Acta Mathematica Sinica,English Series》2020年第10期1183-1202,共20页Nurehemaiti YIMING Geni GUPUR 
the National Natural Science Foundation of China (Grant No. 11961062)。
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...
关键词：M/M/1 queueing model with vacations and multiple phases of operation time-dependent solution C0-SEMIGROUP point spectrum SPECTRUM 
K-fusion Frames and the Corresponding Generators for Unitary Systems被引量：1
《Acta Mathematica Sinica,English Series》2018年第5期843-854,共12页Ai Fang LIU Peng Tong LI 
Supported by National Natural Science Foundation of China(Grant Nos.11671201 and 11571247)
Motivated by K-frames and fusion frames, we study K-fusion frames in Hilbert spaces. By the means of operator K, frame operators and quotient operators, several necessary and sufficient conditions for a sequence of cl...
关键词：K-fusion frame K-fusion frame generator wandering subspace unitary system 
The Second Main Theorem Concerning Small Algebroid Functions被引量：1
《Acta Mathematica Sinica,English Series》2012年第10期2089-2106,共18页Dao Chun SUN Zong Sheng GAO Hui Fang LIU 
Supported by National Nature Science Foundation of China (Grant Nos. 10771011, 10871076, 11101096 and 11171013)
In this paper, we firstly give the definition of meromorphic function element and algebroid mapping. We also construct the algebroid function family in which the arithmetic, differential opera- tions are closed. On ba...
关键词：Algebroid function algebroid mapping corresponding addition the Second Main Theo- rem 
Surfaces and Curves Corresponding to the Solutions Generated from Periodic“Seed”of NLS Equation被引量：1
《Acta Mathematica Sinica,English Series》2012年第8期1713-1726,共14页Ling ZHANG Jing Song HE Yi CHENG Yi Shen LI 
Supported by National Natural Science Foundation of China(Grant No.10971109);Program for New Century Excellent Talents in University(Grant No.NCET-08-0515);Natural Science Foundation of Anhui Province(Grant Nos.KJ2007B024,KJ2011Z287)
The solutions q[n] generated from a periodic ＂seed＂ q = cei（as＋bt） of t：he nonlinear SchrS- dinger （NLS） by n-fold Darboux transformation is represented by determinant. Furthermore, the s-periodic solution and...
关键词：Darboux transformation nonlinear SchrSdinger equation integrable surface 
Weak Hopf Algebras Corresponding to Borcherds-Cartan Matrices被引量：5
《Acta Mathematica Sinica,English Series》2007年第10期1729-1744,共16页Li Xia YE Zhi Xiang WU Xue Feng MEI 
Supported in part by the Scientific Research Foundation of Zhejiang Provincial Education Department under grant number 20040322;It is also sponsored by SRF for ROCS,SEM
Let y be a generalized Kac-Moody algebra with an integral Borcherds-Cartan matrix. In this paper, we define a d-type weak quantum generalized Kac-Moody algebra wUq^d（y）, which is a weak Hopf algebra. We also study t...
关键词：weak Hopf algebra weak quantum generalized Kac-Moody algebra highest weight module weak A-form 
The Self-similar Solution to Some Nonlinear Integro-differential Equations Corresponding to Fractional Order Time Derivative被引量：3
《Acta Mathematica Sinica,English Series》2005年第6期1337-1350,共14页Chang Xing MIAO Han YANG 
NSF of China,Special Funds for Major State Basic Research Projects of China;NSF of Chinese Academy of Engineering Physics
In this paper we study the self-similar solution to a class of nonlinear integro-differential equations which correspond to fractional order time derivative and interpolate nonlinear heat and wave equation. Using the ...
关键词：Self-similar solution Space-time estimates Integro-differential equation Fractional order time derivative Mittag-Lettter＇s function Cauchy problem 
Invariant Measure for the Markov Process Corresponding to a PDE System被引量：4
《Acta Mathematica Sinica,English Series》2005年第3期457-464,共8页Fu Bao XI 
the National Natural Science Foundation of China, Grant No. 19901001
In this paper, we consider the Markov process （X^∈（t）, Z^∈（t）） corresponding to a weakly coupled elliptic PDE system with a small parameter ∈ 〉 0. We first prove that （X^∈（t）, Z^∈（t）） has the Feller ...
关键词：Feller continuity Coupling Invariant measure Foster-Lyapunov inequality Large deviations 
Geometric Parameters Corresponding to Representations of the Classical Groups with Integral Infinitesimal Characters
《Acta Mathematica Sinica,English Series》1996年第3期268-284,共17页Hou Zixin, Department of Mathematics Nankai University Tianjin, 300071 ChinaZhao Qiang, Department of Mathematics Peking University Beijing, 100871 China and Department of Mathematics Northwest Normal University Lanzhou, 730070 China 
National Natural Science Foundation of China;Post-Doctor's Foundation of China.
In this paper we calculate the orbits of flag manifolds of the complex classical groups under the action of the sets of fixed points of Cartan involutions, and determine all the geometric parameters corresponding to r...
关键词：Extended groups Strong real forms E-groups Geometric parameters 
On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators
《Acta Mathematica Sinica,English Series》1994年第3期315-324,共10页Chen Dirong Department of Mathematics Beijing Normal University Beijing,100875 and Center for Mathematical Sciences Zhejiang University Hangzhou,310027 China 
Supported in part by NSFC.
This paper discusses some problems on the cardinal spline interpolation correspond- ing to infinite order differential operators.The remainder formulas and a dual theorem are es- tablished for some convolution classes...
关键词：MATH On the Cardinal Spline Interpolation Corresponding to Infinite Order Differential Operators LIM CHEN 卜成 
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