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哈尔滨工业大学理学院研究生考研导师简介-薛小平

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基本信息科学研究论文专著
基本信息




工作经历
时间工作经历
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


主要任职
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

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

论文专著
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 2012Multiple 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 2011Decay 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 2011Some properties of the space of regular operators on atomic Banach lattice, Bu Qingying; Li Yongjin; Xue Xiaoping, COLLECTANEA MATHEMATICA, Vol.62, 131-137, MAY 2011Multiple Solutions of p-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem, Zhang Jing; Xue Xiaoping, BOUNDARY VALUE PROBLEMS, 2011Periodic 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 15Three 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 2010SHADOWING 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 2010The 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 2010Outer synchronization of coupled networks using arbitrary coupling strength, Li Zhuchun; Xue Xiaoping, CHAOS, Vol.20, JUN 2010Evolution 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 2010A 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, 2010CUCKER-SMALE FLOCKING UNDER ROOTED LEADERSHIP WITH FIXED AND SWITCHING TOPOLOGIES, Li Zhuchun; Xue Xiaoping, SIAM JOURNAL ON APPLIED MATHEMATICS, Vol.70, 3156-3174, 2010A 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 2009SOLVING 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 2009Subgradient-Based Neural Networks for Nonsmooth Nonconvex Optimization Problems, Bian Wei; Xue Xiaoping, IEEE TRANSACTIONS ON NEURAL NETWORKS, Vol.20, 1024-1038, JUN 2009Global 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 2009LEARNING 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 2008On 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 2007Equilibrium 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, 2005The 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 2004On 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 2004On 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 2003Impulsive 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 2003Controllability of evolution inclusions with nonlocal conditions, Li GC; Xue XP, APPLIED MATHEMATICS AND COMPUTATION, 卷: 141 期: 2-3 页: 375-384 , SEP 5 2003The 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

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