Deterministic Time-inconsistent Optimal Control Problems—an Essentially Cooperative Approach—Jiong-min YONG A general deterministic time-inconsistent optimal control problem is formulated for ordinary differential e...Deterministic Time-inconsistent Optimal Control Problems—an Essentially Cooperative Approach—Jiong-min YONG A general deterministic time-inconsistent optimal control problem is formulated for ordinary differential equations.To find a time-consistent equilibrium value function and the corresponding time-consistent equilibrium control,a non-cooperative N-person展开更多
A Note on Parameter Estimations of Panel Vector Autoregressive Models with Intercorrelation—Jian-hong Wu,Li-xing Zhu,Zai-xing Li This note considers parameter estimation for panel vector autoregressive models with in...A Note on Parameter Estimations of Panel Vector Autoregressive Models with Intercorrelation—Jian-hong Wu,Li-xing Zhu,Zai-xing Li This note considers parameter estimation for panel vector autoregressive models with intercorrelation.Conditional least squares estimators are derived and the asymptotic normality is established.A simulation is carried out for illustration.展开更多
Partitioning Complete Graphs by Heterochromatic Trees—Ze-min JIN,Xue-liang LI A heterochromatic tree is an edge-colored tree in which any two edges have different colors.The heterochromatic tree partition number of a...Partitioning Complete Graphs by Heterochromatic Trees—Ze-min JIN,Xue-liang LI A heterochromatic tree is an edge-colored tree in which any two edges have different colors.The heterochromatic tree partition number of an r-edge-colored graph G,denoted展开更多
The Global Existence of Solutions for Two Classes of Chemotaxis Models—Feng-long QU,Ya-ping WU This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis mode...The Global Existence of Solutions for Two Classes of Chemotaxis Models—Feng-long QU,Ya-ping WU This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three dimensional spaces.Firstly,by using detailed energy estimates,special interpolation relation and uniform Gronwall inequality,we prove the global existence of uniformly bounded solutions for a class of展开更多
Well-posedness and Stability for an Elliptic-parabolic Free Boundary Problem Modeling the Growth of Multi-layer Tumors—Xiu-mei Hou,Shang-bin Cui In this paper we study a free boundary problem modeling the growth of m...Well-posedness and Stability for an Elliptic-parabolic Free Boundary Problem Modeling the Growth of Multi-layer Tumors—Xiu-mei Hou,Shang-bin Cui In this paper we study a free boundary problem modeling the growth of multi-layer tumors.This free boundary problem contains one parabolic equation and one elliptic equation, defined on an unbounded domain in R^2 of the form 0<y<ρ(x,t),whereρ(x,t)is an unknown function.Unlike previous works on this tumor model where unknown展开更多
Risk Models for the Prize Collecting Steiner Tree Problems with Interval Data——Xiao-dong HU,Bi LI Given a connected graph G=(V,E)with a nonnegative cost on each edge in E,a nonnegative prize at each vertex in V,and ...Risk Models for the Prize Collecting Steiner Tree Problems with Interval Data——Xiao-dong HU,Bi LI Given a connected graph G=(V,E)with a nonnegative cost on each edge in E,a nonnegative prize at each vertex in V,and a target set V^1(?)V,the Prize Collecting Steiner Tree(PCST)problem is to find a tree T in G interconnecting all vertices of V_1 such that the total cost on edges in T minus the total prize at vertices in T is minimized.The PCST problem appears frequently in practice of operations research.While the problem is NPhard in general,it is polynomial-time solvable when graphs G are restricted to series-parallel graphs.展开更多
Dimension Splitting Method for the Three Dimensional Rotating Navier-Stokes Equations- Kai-tai LI,Jia-ping YU,Feng SHI,Ai-xiang HUANG In this paper,we propose a dimensional splitting method for the three dimensional(3...Dimension Splitting Method for the Three Dimensional Rotating Navier-Stokes Equations- Kai-tai LI,Jia-ping YU,Feng SHI,Ai-xiang HUANG In this paper,we propose a dimensional splitting method for the three dimensional(3D) rotating Navier-Stokes equations.Assume that the domain is a channel bounded by two展开更多
Construction and Regularity of Transition Functions on Polish Spaces under Measurability Conditions—Liu-er Ye,Xian-ping Guo This paper concerns the construction and regularity of a transition(probability)function of ...Construction and Regularity of Transition Functions on Polish Spaces under Measurability Conditions—Liu-er Ye,Xian-ping Guo This paper concerns the construction and regularity of a transition(probability)function of a nonhomogeneous continuous-time Markov process with given transition rates展开更多
The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie con...The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce α~k-derivations of multiplicative Hom-Lie conformal algebras and study their properties.展开更多
文摘Deterministic Time-inconsistent Optimal Control Problems—an Essentially Cooperative Approach—Jiong-min YONG A general deterministic time-inconsistent optimal control problem is formulated for ordinary differential equations.To find a time-consistent equilibrium value function and the corresponding time-consistent equilibrium control,a non-cooperative N-person
文摘A Note on Parameter Estimations of Panel Vector Autoregressive Models with Intercorrelation—Jian-hong Wu,Li-xing Zhu,Zai-xing Li This note considers parameter estimation for panel vector autoregressive models with intercorrelation.Conditional least squares estimators are derived and the asymptotic normality is established.A simulation is carried out for illustration.
文摘Partitioning Complete Graphs by Heterochromatic Trees—Ze-min JIN,Xue-liang LI A heterochromatic tree is an edge-colored tree in which any two edges have different colors.The heterochromatic tree partition number of an r-edge-colored graph G,denoted
文摘The Global Existence of Solutions for Two Classes of Chemotaxis Models—Feng-long QU,Ya-ping WU This paper is concerned with the global existence and uniform boundedness of solutions for two classes of chemotaxis models in two or three dimensional spaces.Firstly,by using detailed energy estimates,special interpolation relation and uniform Gronwall inequality,we prove the global existence of uniformly bounded solutions for a class of
文摘Well-posedness and Stability for an Elliptic-parabolic Free Boundary Problem Modeling the Growth of Multi-layer Tumors—Xiu-mei Hou,Shang-bin Cui In this paper we study a free boundary problem modeling the growth of multi-layer tumors.This free boundary problem contains one parabolic equation and one elliptic equation, defined on an unbounded domain in R^2 of the form 0<y<ρ(x,t),whereρ(x,t)is an unknown function.Unlike previous works on this tumor model where unknown
文摘Risk Models for the Prize Collecting Steiner Tree Problems with Interval Data——Xiao-dong HU,Bi LI Given a connected graph G=(V,E)with a nonnegative cost on each edge in E,a nonnegative prize at each vertex in V,and a target set V^1(?)V,the Prize Collecting Steiner Tree(PCST)problem is to find a tree T in G interconnecting all vertices of V_1 such that the total cost on edges in T minus the total prize at vertices in T is minimized.The PCST problem appears frequently in practice of operations research.While the problem is NPhard in general,it is polynomial-time solvable when graphs G are restricted to series-parallel graphs.
文摘Dimension Splitting Method for the Three Dimensional Rotating Navier-Stokes Equations- Kai-tai LI,Jia-ping YU,Feng SHI,Ai-xiang HUANG In this paper,we propose a dimensional splitting method for the three dimensional(3D) rotating Navier-Stokes equations.Assume that the domain is a channel bounded by two
文摘Construction and Regularity of Transition Functions on Polish Spaces under Measurability Conditions—Liu-er Ye,Xian-ping Guo This paper concerns the construction and regularity of a transition(probability)function of a nonhomogeneous continuous-time Markov process with given transition rates
基金supported by National Natural Science Foundation of China (Grant Nos. 11171055, 11471090 and 11301109)Natural Science Foundation of Jilin Province (Grant No. 20170101048JC)
文摘The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce α~k-derivations of multiplicative Hom-Lie conformal algebras and study their properties.
