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...
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...
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...
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,...
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...
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...
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...
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...
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...
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...