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Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process
《Acta Mathematica Sinica,English Series》2024年第8期2005-2016,共12页Lin Yu BAI Xu YANG 
Supported by NSFC(Grant No.12061004);NSF of Ningxia(Grant No.2021AAC02018);the Fundamental Research Funds for the Central Universities,North Minzu University(Grant No.2020KYQD17);Major research project for North Minzu University(Grant No.ZDZX201902);the Construction Project of First-Class Disciplines in Ningxia Higher Education(Grant No.NXYLXK2017B09)。
By generalizing a criterion of Mufa Chen for Markov jump processes,we establish the necessary and sufficient conditions for the extinction,explosion and coming down from infinity of a continuous-state nonlinear Neveu...
关键词:Continuous-state branching process nonlinear branching Neveu’s branching EXTINCTION explosion coming down from infinity 
Uniqueness Problem for the Backward Differential Equation of a Continuous-State Branching Process
《Acta Mathematica Sinica,English Series》2024年第8期1825-1836,共12页Pei Sen LI Zeng Hu LI 
supported by the National Key R&D Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant No.12271029)。
The distributional properties of a multi-dimensional continuous-state branching process are determined by its cumulant semigroup,which is defined by the backward differential equation.We provide a proof of the asserti...
关键词:Continuous-state branching process MULTI-DIMENSIONAL backward differential equation stochastic equation generator 
Continuous Orbit Equivalence of Semigroup Actions
《Acta Mathematica Sinica,English Series》2024年第6期1581-1598,共18页Xiang Qi QIANG Cheng Jun HOU 
Supported by the NSF of China(Grant No.12271469,11771379,11971419)。
We introduce notions of continuous orbit equivalence and its one-sided version for countable left Ore semigroup actions on compact spaces by surjective local homeomorphisms,and characterize them in terms of the corres...
关键词:Semigroup action continuous one-sided orbit equivalence continuous orbit equivalence groupoid C^(∗)-algebras 
Stability of Periodic Orbits and Return Trajectories of Continuous Multi-valued Maps on Intervals
《Acta Mathematica Sinica,English Series》2018年第7期1121-1130,共10页Tai Xiang SUN Fan Ping ZENG Guang Wang SU Bin QIN 
Supported by NNSF of China(Grant No.11761011);NSF of Guangxi(Grant Nos.2016GXNSFBA380235and 2016GXNSFAA380286);YMTBAPP of Guangxi Colleges(Grant No.2017KY0598);SF of Guangxi Univresity of Finance and Economics(Grant No.2017QNA04)
Let I be a compact interval of real axis R, and (L, H) be the metric space of all nonempty closed subintervals of I with the Hausdorff metric H and f : I →L be a continuous multi-valued map. Assume that Pn = (x0,...
关键词:Continuous multi-valued map periodic orbit STABILITY 
Continuous Subsonic-Sonic Flows in a Convergent Nozzle
《Acta Mathematica Sinica,English Series》2018年第4期749-772,共24页Yuan Yuan NIE Chun Peng WANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11571137 and 11601182)
This paper concerns continuous subsonic-sonic potential flows in a two-dimensional conver- gent nozzle. It is shown that for a given nozzle which is a perturbation of a straight one, a given point on its wall where th...
关键词:Continuous subsonic-sonic flow free boundary nonlocal boundary condition degeneracy singularity 
Dunkl's Theory and Best Approximation by Entire Functions of Exponential Type in L_2-metric with Power Weight
《Acta Mathematica Sinica,English Series》2014年第10期1748-1762,共15页Yong Ping LIU Chun Yuan SONG 
Supported by National Natural Science Foundation of China(Grant No.11071019);the research Fund for the Doctoral Program of Higher Education and Beijing Natural Science Foundation(Grant No.1102011)
In this paper, we study the sharp Jackson inequality for the best approximation of f ∈L2,k(Rd) by a subspace Ek2(σ) (SEk2(σ)), which is a subspace of entire functions of exponential type (spherical exponen...
关键词:Reflection group Dunkl transform Bessel function Jackson inequality continuous modulus 
Some Properties of Stochastic Differential Equations Driven by the G-Brownian Motion被引量:6
《Acta Mathematica Sinica,English Series》2013年第5期923-942,共20页Qian LIN 
In this paper, we study the property of continuous dependence on the parameters of stochastic integrals and solutions of stochastic differential equations driven by the G-Brownian motion. In addition, the uniqueness a...
关键词:G-EXPECTATION continuous paths G-Brownian motion stochastic differential equations 
Stochastic Equations for Two-type Continuous-state Branching Processes with Immigration被引量:2
《Acta Mathematica Sinica,English Series》2013年第2期287-294,共8页Ru Gang MA 
A two-dimensional stochastic integral equation system with jumps is studied. We first prove its unique weak solution is a two-type continuous-state branching process with immigration. Then the comparison property of t...
关键词:Continuous-state branching process IMMIGRATION stochastic integral equation comparison property strong solution 
The Rate of Approximation of Gaussian Radial Basis Neural Networks in Continuous Function Space被引量:1
《Acta Mathematica Sinica,English Series》2013年第2期295-302,共8页Ting Fan XIE Fei Long CAO 
Supported by National Natural Science Foundation of China(Grant Nos.61101240and61272023);the Zhejiang Provincial Natural Science Foundation of China(Grant No.Y6110117)
There have been many studies on the dense theorem of approximation by radial basis feedforword neural networks, and some approximation problems by Gaussian radial basis feedforward neural networks (GRBFNs) in some s...
关键词:Gaussian radial basis feedforward neural networks APPROXIMATION rate of convergence modulus of continuity 
Generalized Backward Doubly Stochastic Differential Equations Driven by Lévy Processes with Continuous Coefficients被引量:1
《Acta Mathematica Sinica,English Series》2012年第10期2011-2020,共10页Auguste AMAN Jean Marc OWO 
supported by TWAS Research Grants to individuals (No. 09-100 RG/MATHS/AF/AC-IUNESCO FR: 3240230311)
A new class of generalized backward doubly stochastic differential equations (GBDSDEs in short) driven by Teugels martingales associated with Levy process are investigated. We establish a comparison theorem which al...
关键词:Backward doubly stochastic differential equations L@vy processes Teugels martingales comparison theorem continuous and linear growth conditions 
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