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薛小平
2023-05-10 20:01
  • 薛小平
  • 薛小平 - 教授 博导-哈尔滨工业大学-数学学院-个人资料

近期热点

资料介绍

个人简历


工作经历
1991-1992
哈尔滨工业大学数学系讲师
1992-1997
哈尔滨工业大学数学系副教授
1997-2002
哈尔滨工业大学数学系教授
2002—目前
哈尔滨工业大学数学系博士生导师
教育经历
1982年-1986年, 毕业于哈尔滨工业大学数学专业获学士学位
1986年-1991年, 毕业于哈尔滨工业大学数学专业获博士学位

研究领域


基础数学
主要研究方向:泛函分析、微分包含、优化与控制""

近期论文


Nontrivial solutions for a class of quasilinear problems with jumpinonlinearities via a cohomological local splitting, Zhang Jing; Li Chong; Xue Xiaoping,NONLINEAR ANALYSIS THEORY METHODS APPLICATIONS ,Vol.75,4896-4903, SEP 2012
Evolution Differential Inclusion with Projection for Solving Constrained Nonsmooth Convex Optimization in Hilbert Space, Bian Wei; Xue Xiaoping, SET-VALUED AND VARIATIONAL ANALYSIS, Vol. 20, 203-227, JUN 2012
Multiple solutions for a class of semilinear elliptic problems with Robin boundary condition, Zhang Jing; Li Shujie; Xue Xiaoping, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol. 388, 435-442, APR 2012
Design of Natural Classification Kernels Using Prior Knowledge, Liu Fengqiu; Xue Xiaoping, IEEE TRANSACTIONS ON FUZZY SYSTEMS, Vol.20, 135-152, FEB 2012
W-0(1,p(x)) Versus C-1 Local Minimizers for Nonsmooth Functionals, Che Chengfu; Ge Bin; Xue Xiao-Ping, MATHEMATICAL MODELLING AND ANALYSIS, Vol.17, 396-402, 2012
Infinitely many periodic solutions for discrete second order Hamiltonian systems with Oscillating potential, Che Chengfu; Xue Xiaoping, ADVANCES IN DIFFERENCE EQUATIONS, 2012
Boundary value problems of a class of nonlinear partial differential inclusions, Cheng Yi; Cong Fuzhong; Xue Xiaoping, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, Vol 12, 3095-3102, DEC 2011
Two-point boundary value problems of uncertain dynamical systems, Li Daohua; Chen Minghao; Xue Xiaoping, FUZZY SETS AND SYSTEMS, Vol.179 ,50-61, SEP 16 2011
Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms, Wu Yuhu; Xue Xiaoping, JOURNAL OF MATHEMATICAL PHYSICS, Vol.52, SEP 2011
EXISTENCE OF PERIODIC SOLUTIONS FOR A DIFFERENTIAL INCLUSION SYSTEMS INVOLVING THE p(t)-LAPLACIAN, Ge Bin; Xue Xiaoping; Zhou Qingmei, ACTA MATHEMATICA SCIENTIA, Vol.31, 1786-1802, SEP 2011
Existence of at least five solutions for a differential inclusion problem involving the p(x)-Laplacian, Ge Bin; Xue Xiaoping; Zhou Qingmei, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, Vol.12, 2304-2318, AUG 2011
Some properties of the space of regular operators on atomic Banach lattice, Bu Qingying; Li Yongjin; Xue Xiaoping, COLLECTANEA MATHEMATICA, Vol.62, 131-137, MAY 2011
Multiple Solutions of p-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem, Zhang Jing; Xue Xiaoping, BOUNDARY VALUE PROBLEMS, 2011
Periodic problems of first order uncertain dynamical systems, Chen Minghao; Li Daohua; Xue Xiaoping, FUZZY SETS AND SYSTEMS, Vol.162, 67-78, JAN 1 2011
The Grothendieck property for injective tensor products of Banach spaces, Ji Donghai; Xue Xiaoping; Bu Qingying, CZECHOSLOVAK MATHEMATICAL JOURNAL, Vol.60, 1153-1159, DEC 2010
Multiple solutions for semilinear elliptic equations with Neumann boundary condition and jumping nonlinearities, Zhang Jing; Li Shujie; Wang Yuwen,, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol.371, 682-690, NOV 15
Three solutions to inequalities of Dirichlet problem driven by p(x)-Laplacian, Ge Bin; Xue Xiao-ping; Guo Meng-shu, APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, Vol.31, 1283-1292, OCT 2010
Dynamical Analysis of Neural Networks of Subgradient System, Qin Sitian; Xue Xiaoping, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol.55, 2347-2352, OCT 2010
SHADOWING PROPERTY FOR INDUCED SET-VALUED DYNAMICAL SYSTEMS OF SOME EXPANSIVE MAPS, Wu Yuhu; Xue Xiaoping, DYNAMIC SYSTEMS AND APPLICATIONS, Vol.19, 405-414, SEP-DEC 2010
Asymptotic Stability Analysis of a Kind of Switched Positive Linear Discrete Systems, Xue Xiaoping; Li Zhuchun, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Vol.55, 2198-2203, SEP 2010
Dynamical behavior of a class of nonsmooth gradient-like systems, Qin Sitian; Xue Xiaoping, NEUROCOMPUTING, Vol.73, 13-15, AUG 2010
Multiple solutions for inequality Dirichlet problems by the p(x)-Laplacian, Ge Bin; Xue Xiaoping, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, Vol.11, 3198-3210, AUG 2010
The existence of radial solutions for differential inclusion problems in R-N involving the p(x)-Laplacian, Ge Bin; Xue Xiaoping; Zhou Qingmei, NONLINEAR ANALYSIS-THEORY METHODS APPLICATIONS, Vol.73, 622-633, AUG 1 2010
Outer synchronization of coupled networks using arbitrary coupling strength, Li Zhuchun; Xue Xiaoping, CHAOS, Vol.20, JUN 2010
Evolution inclusions with Clarke subdifferential type in Hilbert space, Qin Sitian; Xue Xiaoping, MATHEMATICAL AND COMPUTER MODELLING, Vol.51, 5-6, MAR 2010
Existence of periodic solutions of nonlinear evolution inclusions in Banach spaces, Xue Xiaoping; Cheng Yi, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, Vol.11, 459-471, FEB 2010
A Dynamical Approach to Constrained Nonsmooth Convex Minimization Problem Coupling with Penalty Function Method in Hilbert Space, Bian Wei; Xue Xiaoping, NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, Vol.31, 1221-1253, 2010
COMPLETE CONTINUITY PROPERTIES FOR THE FREMLIN PROJECTIVE TENSOR PRODUCT OF ORLICZ SEQUENCE SPACES AND BANACH LATTICES, Bu Qingying; Ji Donghai; Xue Xiaoping, ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, Vol.40, 1797-1808, 2010
CUCKER-SMALE FLOCKING UNDER ROOTED LEADERSHIP WITH FIXED AND SWITCHING TOPOLOGIES, Li Zhuchun; Xue Xiaoping, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol.70, 3156-3174, 2010
A NEURAL NETWORK FOR SMOOTH NONCONVEX SADDLE POINT PROBLEMS, Bian Wei; Xue Xiaoping; Wu Huaiqin, INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, Vol.5, 2781-2790, SEP 2009
SOLVING A CLASS OF SADDLE POINT PROBLEMS BY NEURAL NETWORKS, Xu Hongwen; Bian Wei; Xue Xiaoping, INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, Vol.5, 2857-2868, SEP 2009
Subgradient-Based Neural Networks for Nonsmooth Nonconvex Optimization Problems, Bian Wei; Xue Xiaoping, IEEE TRANSACTIONS ON NEURAL NETWORKS, Vol.20, 1024-1038, JUN 2009
Global Exponential Stability and Global Convergence in Finite Time of Neural Networks with Discontinuous Activations, Qin Sitian; Xue Xiaoping, NEURAL PROCESSING LETTERS, Vol.29, 189-204, JUN 2009
A project neural network for solving degenerate quadratic minimax problem with linear constraints, Xue Xiaoping; Bian Wei, NEUROCOMPUTING, Vol.72, 7-9, MAR 2009
LEARNING FUZZY EQUIVALENCE RELATION KERNELS WITH PRIOR KNOWLEDGE, Xue Xiaoping; Liu Fengqiu, PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, Vols 1-6, 237-242, 2009
On the integrable noncompact fuzzy number space, Chen Degang; Xue XiaoPing; Zhu Liangkuan, APPLIED MATHEMATICS LETTERS, Vol.21, 1260-1266, DEC 2008
Stability analysis for neural networks with inverse Lipschitzian neuron activations and impulses, Wu Huaiqin; Xue Xiaoping, APPLIED MATHEMATICAL MODELLING, Vol.32, 2347-2359, NOV 2008
Subgradient-based neural networks for nonsmooth convex optimization problems, Xue Xiaoping; Bian Wei, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, Vol.55, 2378-2391, SEP 2008
Two-point boundary value problems of undamped uncertain dynamical systems, Chen Minghao; Fu Yongqiang; Xue Xiaoping, FUZZY SETS AND SYSTEMS, Vol. 159, 2077-2089, AUG 15 2008
On fuzzy boundary value problems, Chen Minghao; Wu Congxin; Xue Xiaoping, INFORMATION SCIENCES, Vol.178, 1877-1892, APR 1 2008
The fuzzy rule-number estimation of T-S fuzzy models as universal approximators, Liu Fengqiu; Xue Xiaoping; Wang Jianmin, FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, Vol.1, 462-469, 2008
Stability analysis for neural networks with discontinuous neuron activations and impulses, Wu Huaiqin; Xue Xiaoping; Zhong Xiaozhu, INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, Vol.3, 1537-1548, DEC 2007
Some properties of the injective tensor product of Banach spaces, Xue Xiao Ping; Li Yong Jin; Bu Qing Ying, ACTA MATHEMATICA SINICA-ENGLISH SERIES, Vol.23, 1697-1706, SEP 2007
Embedding l(1) into the projective tensor product of Banach spaces, Xue Xiaoping; Li Yongjin; Bu Qingying, TAIWANESE JOURNAL OF MATHEMATICS, Vol.11, 1119-1125, SEP 2007
A project neural network for solving degenerate convex quadratic program, Xue Xiaoping; Bian Wei, NEUROCOMPUTING, Vol.70, 13-15, AUG 2007
A kind of nonnegative matrices and its application on the stability of discrete dynamical systems, Xue Xiaoping; Guo Liang, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol.331, 1113-1121, JUL 15 2007
Periodic solutions for semi-linear evolution inclusions, Xue Xiaoping; Yu Jinfeng, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol.331, 1246-1262, JUL 15 2007
Equilibrium points and stability analysis of a class of neural networks, Xue Xiaoping, Advances in Neural Networks, Vol.4491, 879-889, 2007
Existence and uniqueness of cauchv problem for fuzzy differential equations under dissipative conditions, Song Shiji; Wu Cheng; Xue Xiaoping, COMPUTERS & MATHEMATICS WITH APPLICATIONS, Vol.51. 1483-1492, MAY 2006
On the structure of solutions for fuzzy initial value problem, Xue XP; Fu YQ, FUZZY SETS AND SYSTEMS, Vol.157, 212-229, JAN 16 2006
Exponential convergence of delayed neural networks, Xue XP, 会议: 1st International Conference on Natural Computation (ICNC 2005) , ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, Vol.3610, 466-469, 2005
The asymptotic and oscillatory behavior of neutral difference inclusions,Guo MS; Xue XP; Li RL, APPLIED MATHEMATICS AND COMPUTATION, 卷: 150 期: 1 页: 115-128, FEB 27 2004
On the periodic solutions of differential inclusions and applications, Li GC; Xue XP; Song SJ, APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 卷: 25 期: 2 页: 168-177, FEB 2004
On stability of delayed cellular neural networks with sigmoid output functions, Mo Y; Xue XP; Song SJ, SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 卷: 46 期: 5 页: 371-380, OCT 2003
Impulsive functional differential inclusions and fuzzy population models, Guo MS; Xue XP; Li RL, FUZZY SETS AND SYSTEMS, 卷: 138 期: 3 页: 601-615, SEP 16 2003
Controllability of evolution inclusions with nonlocal conditions, Li GC; Xue XP, APPLIED MATHEMATICS AND COMPUTATION, 卷: 141 期: 2-3 页: 375-384 , SEP 5 2003
The oscillation of delay differential inclusions and fuzzy biodynamics models, Guo MS; Xue XP; Li RL,MATHEMATICAL AND COMPUTER MODELLING, 卷: 37 期: 7-8 页: 651-658, APR 2003
On the existence of periodic solutions for differential inclusions, Li GC; Xue XP, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 卷: 276 期: 1 页: 168-183, DEC 1 2002
Caratheodory solutions of fuzzy differential equations, Xue XP; Fu YQ, FUZZY SETS AND SYSTEMS, 卷: 125 期: 2 页: 239-243, JAN 16 2002
Preparation of monoclonal antibody against celangulin V and immunolocalization of receptor in the oriental armyworm, Mythimna separata Walker (Lepidoptera : Noctuidae), Qi Zhijun; Xue Xiaoping; Wu Wenjun, JOURNAL OF AGRICULTURAL AND FOOD CHEMISTRY, 卷: 54 期: 20 页: 7600-7605, OCT 4 2006
Existence and uniqueness of cauchv problem for fuzzy differential equations under dissipative conditions, Song Shiji; Wu Cheng; Xue Xiaoping, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 卷: 51 期: 9-10 页: 1483-1492, 卷: 51 期: 9-10 页: 1483-1492
Oscillatory properties of second order differential inclusions, Guo Mengshu; Xue Xiaoping; Duan Guangren, INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 卷: 7 期: 4 页: 375-380, 2006
中国数学会理事
中国系统工程学会模糊数学与模糊系统委员会常务理事

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