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控制理论与应用（英文版） 2011年第2期9卷 302-306页

作者： Jianwei XIA 1.2,Hongbin ZHANG 3 1.school of Automation,Southeast {1.,Nanjing Jiangsu 21.096,China 2.school of mathematics science,liaocheng university,liaocheng shandong 252000,China 3.school of Electronic Engineering,{1. of Electronic science and Technology,Chengdu Sichuan 61.054,China school of Automation Southeast University Nanjing Jiangsu China school of {1. science Liaocheng University Liaocheng Shandong China school of Electronic Engineering University of Electronic Science and Technology Chengdu Sichuan China

The global robust exponential stability of a class of neural networks with polytopic uncertainties and distributed delays is investigated in this ***-dependent Lypaunov-Krasovskii functionals and free-weighting matrices are employed to obtain sufficient condition that guarantee the robust global exponential stability of the equilibrium point of the considered neural *** derived sufficient condition is proposed in terms of a set of relaxed linear matrix inequalities (LMIs),which can be checked easily by recently developed algorithms solving LMIs.A numerical example is given to demonstrate the effectiveness of the proposed criteria.

关键词： Neural networks Polytopic uncertainties Distributed delays Delay-dependent Global robust exponential stability

Function S-rough sets and security-authentication of hiding law

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science in China(Series F) 2008年第7期51卷 924-935页

作者： SHI KaiQuan1,2 & ZHAO JianLi3 1 school of {1. and Computer sciences, Longyan university, Longyan 364000, China 2.school of {1. and System sciences, shandong university, Jinan 250100, China 3 school of {1. science, {1.}, {1.} 252059, China 1. school of {1. and Computer sciences Longyan University Longyan 364000 China 2. school of {1. and System sciences Shandong University Jinan 250100 China 3. school of {1. science Liaocheng University Liaocheng 252059 China

Function S-rbugh sets are defined by R-function equivalence class, which have dynamic characteristic. Function S-rough sets have dynamic characteristic, law characteristic and law-hiding characteristic. Function S-rough sets can generate f-hiding law and f-hiding law. By engrafting, crossing, and penetrating between the information security theory and function S-rough sets, the security hiding and the authentication of f-hiding law and f-hiding law are given respectively in this paper. The fusion and share between function S-rough sets and information security theory is a new research direction of the application of information law in information system.

关键词： function S-rough sets law-hiding elliptic curve the security-authentication of hiding law

S-rough sets and knowledge separation

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Journal of Systems Engineering and Electronics 2005年第2期16卷 403-410页

作者： Shi Kaiquan 1.21. school of {1. and System sciences, liaocheng university, liaocheng 252059, P. R. China 2. school of {1. and System sciences, shandong university, Jinan 2501.0, P. R. China school of {1. and System sciences Liaocheng University Liaocheng 252059 P. R. China school of {1. and System sciences Shandong University Jinan 250100 P. R. China

The conceptions of the knowledge screen generated by S-rough sets are given: f- screen and - screen , and then puts forward - filter theorem, - filter theorem of knowledge. At last, the applications of knowledge separ... 详细信息

关键词： S- rough sets f- screen - screen f-filter theorem - filter theorem knowledge separation.

Mechanical model of vulnerable atherosclerotic plaque rupture

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science China(Physics,Mechanics & Astronomy) 2004年第4期47卷 452-462页

作者： SU Haijun1. ZHANG Mei2 & ZHANG Yun2 1. school of {1. and System science, shandong university, Jinan 2501.0, China 2. Qilu Hospital, shandong university, Jinan 25001., China 1. school of {1. and System science Shandong University 250100 Jinan China 2. Qilu Hospital Shandong University 250012 Jinan China

Rupture of atherosclerotic plaque is the main trigger of acute cardiovascular events, but the mechanism of plaque rupture is still unknown. We have constructed a model describing the motion of the fibrous cap of the plaque using the theory of elastic mechanics and studied the stability of the plaque theoretically. It has shown that plaque rupture is the result of a dynamic interplay between factors intrinsic to the plaque itself and extrinsic factors. We have proposed a new mechanism of plaque rupture, given a new explanation about the nonlinear dynamic progress of atherosclerosis and suggested a method to identify the vulnerable plaques to manage atherosclerosis.

关键词： fibrous cap, parametric resonance, stability, mechanism, identification.

Existence of Positive Solutions for Systems of Nonlinear Second-Order Differential Equations on the Half Line in a Banach Space

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Journal of Mathematical Research and Exposition 2011年第4期31卷 587-604页

作者： Xing Qiu ZHANG 1.2 1.school of {1. and Statistics,Huazhong university of science and Technology,Hubei 430074,P.R.China 2.school of {1.,liaocheng university,shandong 252059,P.R.China school of {1. and Statistics Huazhong University of Science and Technology Shandong 252059

In this paper, the cone theory and MSnch fixed point theorem combined with the monotone iterative technique are used to investigate the positive solutions for a class of systems of nonlinear singular differential equations with multi-point boundary value conditions on the half line in a Banach space. The conditions for the existence of positive solutions are formulated. In addition, an explicit iterative approximation of the solution is also derived.

关键词： systems of singular differential equations cone and ordering positive solutions Monch fixed point theorem measure of non-compactness.

Periodic Wave Solutions to Dispersive Long-Wave Equations in(2+1.-Dimensional Space

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Communications in Theoretical Physics 2005年第7期44卷 8-10页

作者： TIAN Ying-Hui CHEN Han-Lin LIU Xi-Qiang school of {1. and Physics, Southwest university of science and Technology, Mianyang 621.1., China Department of {1., liaocheng university, liaocheng 252059, China school of {1. and Physics Southwest University of Science and Technology Department of mathematics Liaocheng University

Periodic wave solutions to the dispersive long-wave equations are obtained by using the F-expansionmethod, which can be thought of as a generalization of the Jacobi elliptic function method. In the limit case, solitar... 详细信息

关键词： dispersive long-wave equations F-expansion method periodic wave solutions Jacobi elliptic functions solitary wave solutions

Adaptive bidirectional diffusion for image restoration

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science China(Information sciences) 2010年第12期53卷 2452-2460页

作者： FU ShuJun 1.2 & ZHANG CaiMing 1.1.school of Computer {1. and Technology, shandong university, Jinan 2501.1. China 2.school of mathematics, shandong university, Jinan 2501.0, China 1. school of Computer {1. and Technology Shandong University Jinan 250101 China2. School of Mathematics Shandong University Jinan 250100 China

A large number of applications in image processing and computer vision depend on image quality. In this paper, combining the forward diffusion with the backward diffusion by different weights, we present an adaptive bidirectional diffusion method for image denoising and deblurring simultaneously. Further, we introduce a gradient factor into the data fidelity term, which forms a spatially varying constraint and allows a better restoration of image edges and fine details. In order to obtain a stable solution, we develop a numerically stable scheme and give its theoretical analysis. Finally, we show advantages of this method in deblurring edges, denoising and restoring fine details of image compared with other related methods in experiments.

关键词： image restoration bidirectional diffusion inverse diffusion anisotropic diffusion stabilizing scheme spatially varying constraint

MULTI-DIMENSIONAL REFLECTED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS AND THE COMPARISON THEOREM

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Acta Mathematica Scientia 2010年第5期30卷 1819-1836页

作者：吴臻消华 school of {1. Shandong University school of {1. and Statistics Shandong University at Weihai

In this article, we study the multi-dimensional reflected backward stochastic differential equations. The existence and uniqueness result of the solution for this kind of equation is proved by the fixed point argument where every element of the solution is forced to stay above the given stochastic process, i.e., multi-dimensional obstacle, respectively. We also give a kind of multi-dimensional comparison theorem for the reflected BSDE and then use it as the tool to prove an existence result for the multi-dimensional reflected BSDE where the coefficient is continuous and has linear growth.

关键词： backward stochastic differential equations comparison theorem local time

SOLITON AND ELLIPTICAL PERIODIC SOLUTIONS TO THE MODIFIED NONLINEAR SCHRODINGER EQUATION

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Systems science and Mathematical sciences 1999年第3期12卷 263-269页

作者： LIU Xiqiang(Department of mathematics, {1. Teachers College, shandong 252000, China) 聊城师范学院数学系山东聊城 252000

In this note, we have obtained the soliton and periodic solutions to the modifiednonlinear Schrodinger equation (MNLSE) and analysed the features of the soliton *** particular, we point out that the nonlinear Schrodin... 详细信息

关键词： Stronger equation solution elliptical periodic solution phase plane

Positive Solutions for a Second-Order Nonlinear Impulsive Singular Integro-Differential Equation with Integral Conditions in Banach Spaces

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Journal of Mathematical Research with Applications 2012年第5期32卷 599-614页

作者： Xingqiu ZHANG school of {1.,liaocheng university,shandong 252059,P.R.China school of {1. Liaocheng University Shandong 252059

The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point ... 详细信息

关键词： impulsive singular integro-differential equation positive solution M¨onch fixed point theorem measure of noncompactness.