supported by the National Natural Science Foundation of China(Nos.11931018,11961005);Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(No.2020B1212060032);the Natural Science Foundation of Guangxi Province(No.2020GXNSFAA297196)。
This paper is an attempt to study the minimization problem of the risk probability of piecewise deterministic Markov decision processes(PDMDPs)with unbounded transition rates and Borel spaces.Different from the expect...
supported by the National Natural Science Foundation of China(No.11971121)。
This paper deals with an inverse problem for recovering the piecewise constant viscoelasticity of a living body from MRE(Magnetic Resonance Elastography)data.Based on a scalar partial differential equation whose solut...
In equitable multiobjective optimization all the objectives are uniformly optimized, but in some cases the decision maker believes that some of them should be uniformly optimized according to the importance of objecti...
Supported by the National Natural Science Foundation of China(No.11201084);the State Scholarship Fund grant[2013]3018 from the China Scholarship Council
The paper de ls with oscillation of Runge-Kutta methods for equation x'(t) = ax(t) + aox([t]). The conditions of oscillation for the numerical methods are presented by considering the characteristic equation o...
Supported by Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (No. 201102);Beijing Natural Science Foundation (No. 1052007)
In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated clos...
supported by the National Natural Science Foundation of China(No.60772041 and 61071144)
A class of piecewise smooth functions in R2 is considered. The propagation law of the Radon transform of the function is derived. The singularities inversion formula of the Radon transform is derived from the propagat...
Supported by the National Natural Science Foundation of China(No.10861014);The Institute of Mathematical Sciences,Chinese University of Hongkong.
In this paper, we shall construct some explicit piecewise smooth (global continuous) solutions as well as blow up solutions to the multidimensional Landau-Lifshitz equation, subject to the external magnetic fields b...
The asymptotic expansion of the heat kernel Θ(t)=sum from ∞ to j=1 exp(-tλ_j) where {λ_j}_(j=1)~∞ are the eigen-values of the negative Laplacian -Δ_n=-sum from n to k=1((?))~2 in R^n(n=2 or 3) is studied for sho...
In this paper. the authors consider Bahadur asymptotic efficiency of LS estimators βof β, which is an unknown parameter vector in the semiparametric regression model Y=HTβ+g(T)+ε,where g is an unknown Holder conti...
Consider the nonparametric regression model Y=go(T)+u, where Y is real-valued, u is a random error, T is a random d-vector of explanatory variables ranging over a nondegenerate d-dimensional compact set C, and go(·) ...