偶数阶拟线性偏泛函微分方程系统有关边值问题的振动性
作者：
王智慧;罗李平;欧阳自根
期刊：
湖南师范大学自然科学学报 ,2006年29(1):5-8 ISSN：2096-5281
通讯作者：
Wang, Z.-H.
作者机构：
[王智慧] Department of Mathematics, Shaoyang University, Shaoyang 422004, China;[欧阳自根] Department of Mathematics, Nanhua University, Hengyang 421001, China;[罗李平] Department of Mathematics, Hengyang Normal University, Hengyang 421008, China
关键词：
偶数阶;拟线性;偏泛函微分方程系统;振动性
摘要：
研究了一类偶数阶拟线性偏泛函微分方程系统在Robin，Dirichlet边值条件下解的振动性，通过使用直接积分法，获得了系统所有解振动的若干充分判据．这些结论推广和包含了已知的一些结果．
语种：
中文
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The dynamic behavior of N-species cooperation system with continuous time delays and feedback controls
作者：
Chen, Fengde;Liao, Xinyuan;Huang, Zhenkun
期刊：
Applied Mathematics and Computation ,2006年181(2):803-815 ISSN：0096-3003
通讯作者：
Chen, FD
作者机构：
[Chen, Fengde] College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China;[Huang, Zhenkun] School of Sciences, Jimei University, Xiamen, Fujian 361021, China;[Liao, Xinyuan] Department of Mathematics, Shanghai University, Shanghai, 200444, China;[Liao, Xinyuan] School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, China
通讯机构：
[Chen, FD ] ;Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China.
关键词：
cooperation system;permanence;periodic solution;almost periodic solution;global attractivity;feedback controls;POSITIVE PERIODIC-SOLUTIONS;VOLTERRA COMPETITION SYSTEM;PERMANENCE;STABILITY;EXISTENCE;MODEL
摘要：
In this paper, we consider a N-species cooperation system with continuous time delays and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain sufficient conditions which guarantee the existence, uniqueness and stability of a positive periodic solution. For the almost periodic case, by using the Razumikhin type theorem, we obtain the sufficient conditions which guarantee the existence of a positive almost periodic solution of the system. © 2006 Elsevier Inc. All rights reserved.
语种：
英文
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级联三能级介质中非线性光学信号的增强
作者：
Du Dan;Hu Xiang-Ming*
期刊：
物理学报 ,2006年55(10):5232-5236 ISSN：1000-3290
通讯作者：
Hu Xiang-Ming
作者机构：
[Hu Xiang-Ming] Huazhong Normal Univ, Coll Phys Sci & Technol, Wuhan 430079, Peoples R China.;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Hu Xiang-Ming] H;Huazhong Normal Univ, Coll Phys Sci & Technol, Wuhan 430079, Peoples R China.
关键词：
电磁感应透明;非线性光学过程;双光子共振
摘要：
揭示非最大相干可能比最大相干产生更有效的非线性频率转换. 为此以三能级级联系统(没有最大相干)为例计算其非线性光学信号的强度, 并与三能级Λ型系统(具有最大相干)进行比较. 利用非微扰方法计算表明, 在双光子共振和相同参数的条件下, 级联系统产生的非线性光学信号的最大强度约是Λ系统的两倍. 利用缀饰态表象分析表明, 两个系统中耦合跃迁的自发辐射及其介入的不可逆三光子过程具有相反的作用. 它们在级联系统中加强非线性转换, 而在Λ系统中削弱非线性转换.
语种：
中文
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On asymptotic stability of delay-difference systems
作者：
Liao, Xin-Yuan* ;Zhu, Hui-Yan;Chen, Feng-de
期刊：
Applied Mathematics and Computation ,2006年176(2):759-767 ISSN：0096-3003
通讯作者：
Liao, Xin-Yuan
作者机构：
[Liao, Xin-Yuan] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China.;Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China.;Fuzhou Univ, Sch Math & Comp Sci, Fuzhou 350002, Fujiang, Peoples R China.
通讯机构：
[Liao, Xin-Yuan] S;Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China.
关键词：
asymptotic stability;stability criteria;Lyapunov function;delay-difference equations;matrix inequalities;LINEAR NEUTRAL SYSTEMS;DISCRETE-SYSTEMS;EQUATIONS;BOUNDEDNESS;CRITERIA
摘要：
In this paper, we obtain some criteria for determining the asymptotic stability of the zero solution for some classes of delay-difference systems by using a discrete version of the second Lyapunov method. Our results can be well suited for computational purposes. © 2005 Elsevier Inc. All rights reserved.
语种：
英文
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The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation
作者：
Li, Xianyi*
期刊：
Applied Mathematics Letters ,2006年19(11):1152-1158 ISSN：0893-9659
通讯作者：
Li, Xianyi
作者机构：
[Li, Xianyi; Li, XY] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Li, XY] Univ Lille 1, Lab Paul Painleve, F-59655 Villen
通讯机构：
[Li, Xianyi] N;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
rational difference equation;trajectory structure rule;perturbation;global asymptotic stability;semicycle;periodicity
摘要：
We consider in this work the fourth-order rational difference equation {Mathematical expression} where a ∈ [0, ∞) and the initial values x- 3, x- 2, x- 1, x0 ∈ (0, ∞). It is found that the perturbation of the initial values may lead to the variation of the trajectory structure rule for the solutions of the above equation. That is, with change of the initial values, the successive lengths of positive and negative semicycles for nontrivial solutions of this equation are found to occur periodically, and furthermore the periodicity is completely different. The rule is ...,2+,1-,2+,1-,2+,1-,..., or ...,1+,1-,1+,1-,1+,1-,..., or ...,2-,1+,2-,1+,2-,1+,..., or ...,3+,3-,3+,3-,3+,3-,.... This is very different from the known investigation results we have obtained for rational difference equations. By the use of the rule, the positive equilibrium point of the equation is verified to be globally asymptotically stable. © 2006 Elsevier Ltd. All rights reserved.
语种：
英文
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Self-organization of chaos synchronization and pattern formation in coupled chaotic oscillators
作者：
Zhang, Xiaoming* ;Fu, Maolin;Xiao, Jinghua;Hu, Gang
期刊：
Physical Review E ,2006年74(1):015202 ISSN：2470-0045
通讯作者：
Zhang, Xiaoming
作者机构：
[Zhang, Xiaoming] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.;Nanhua Univ, Sch Phys & Mat, Hengyang 421001, Peoples R China.;Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China.;Chinese Ctr Adv Sci & Technol, World Lab, Beijing 8730, Peoples R China.;Beijing Normal Univ Branch, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Beijing, Peoples R China.
通讯机构：
[Zhang, Xiaoming] B;Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China.
摘要：
Pattern formation in spatiotemporal chaotic systems is investigated. Temporally chaotic and spatially ordered patterns are observed by varying the coupling strength. Spatial orderings emerge spontaneously due to self-organization of partial and nonlocal chaos synchronization, governed by various types of spatial symmetries. The first and secondary bifurcations from spatially disordered chaos to chaos with different levels of spatial orderings are observed and the scaling behaviors associated with these bifurcations are statistically analyzed.
语种：
英文
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叠层板型堆芯元件模型的流致振动测试
作者：
崔振东;唐益群;郭长青;闫春岭
期刊：
振动、测试与诊断 ,2006年26(3):185-187 ISSN：1004-6801
通讯作者：
Cui, Z.(czdjiaozuo@163.com)
作者机构：
[崔振东; 唐益群] 同济大学地下建筑与工程系;[郭长青] 南华大学数理学院;[闫春岭] 南华大学建筑工程与资源环境学院
通讯机构：
Department of Geotechnical Engineering, Tongji University, China
关键词：
流致振动;电磁法;测试;叠层板
摘要：
为了保证叠层板状结构在流致振动时的强度、刚度、稳定性及可靠度，需要测量和分析叠层板状结构在流场中的固有振动特性。由于结构元件各单板之间的距离很小，常规的测试方法不能测出该结构的真实动态特性参数，提出一种电磁法测试技术。测试结果表明：叠层板状元件的固有频率随着流速的增大而下降；其流致振动是一种随机振动过程，并具有复模态特性；电磁法具有较高的可靠性和精度，对流致振动测试具有较好的实用性.
语种：
中文
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Oscillation and asymptotic behavior for a class of delay parabolic differential
作者：
Wang, QS* ;Ouyang, ZG;Liao, JD
期刊：
Applied Mathematics Letters ,2006年19(8):758-766 ISSN：0893-9659
通讯作者：
Wang, QS
作者机构：
[Wang, QS] Nanhua Univ, Sch Math & Phys Sci, Hengyang 421001, Hunan, Peoples R China.;Xiangtan Univ, Sch Math & Comp Sci, Xiangtan 411105, Hunan, Peoples R China.
通讯机构：
[Wang, QS] N;Nanhua Univ, Sch Math & Phys Sci, Hengyang 421001, Hunan, Peoples R China.
关键词：
Asymptotic behavior;Asymptotically positive solution;Delay parabolic differential equation;High order;Oscillation
摘要：
Some comparative theorems are given for the oscillation and asymptotic behavior for a class of high order delay parabolic differential equations of the form {A formula is presented} where n is an odd integer, Ω is a bounded domain in Rm with a smooth boundary ∂Ω , and Δ is the Laplacian operation with three boundary value conditions. Our results extend some of those of [P. Wang, Oscillatory criteria of nonlinear hyperbolic equations with continuous deviating arguments, Appl. Math. Comput. 106 (1999), 163-169] substantially. © 2005 Elsevier Ltd. All rights reserved.
语种：
英文
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一类非线性脉冲时滞抛物型方程的强迫振动性
作者：
罗李平;谭琼华;欧阳自根
期刊：
武汉理工大学学报 ,2006年28(8):138-142 ISSN：1671-4431
通讯作者：
Luo, L.-P.(layllp@126.com)
作者机构：
[罗李平] 衡阳师范学院数学系;[谭琼华; 欧阳自根] 南华大学数学系
通讯机构：
Department of Math, Hengyang Normal University, China
关键词：
脉冲;非线性;时滞;抛物型方程;强迫振动
摘要：
研究一类非线性脉冲时滞抛物型方程解的强迫振动性，借助Green定理将多维振动问题转化为关于某一类非齐次脉冲时滞微分不等式的一维问题，获得了这类方程在2类不同边值条件下解强迫振动的若干新的充分条件。
语种：
中文
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引导磁场下磁性药物靶向治疗的理论分析
作者：
Xiong Ping;Guo Ping;Xiang Dong;He Ji-Shan*
期刊：
物理学报 ,2006年55(8):4383-4387 ISSN：1000-3290
通讯作者：
He Ji-Shan
作者机构：
[He Ji-Shan] Cent S Univ, Sch Info Phys & Geomat Engn, Changsha 410083, Peoples R China.;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[He Ji-Shan] C;Cent S Univ, Sch Info Phys & Geomat Engn, Changsha 410083, Peoples R China.
关键词：
磁性药物;靶向治疗;血流动力学;引导磁场
摘要：
应用电磁场理论，对引导磁场下铁磁性“药物”颗粒在靶向治疗中的受力和运动轨迹进行了分析和研究．得到了磁场、血流和血管壁对铁磁性“药物”颗粒的作用及运动规律．给出了铁磁性“药物”在靶向治疗中可采用的一种新方法——利用体外磁激励装置产生的变化磁场来实现铁磁性“药物”靶向治疗，还给出了采用这种方法实现靶向治疗的条件．
语种：
中文
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Dominant and recessive solutions for second order self-adjoint linear difference equations
作者：
Ma, MJ*
期刊：
Applied Mathematics Letters ,2005年18(2):179-185 ISSN：0893-9659
通讯作者：
Ma, MJ
作者机构：
[Ma, MJ] Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China.;[Ma, MJ] Nanhua Univ, Dept Math Phys, Hengyang, Huna
通讯机构：
[Ma, MJ] H;Hunan Univ, Dept Appl Math, Changsha 410082, Hunan, Peoples R China.
关键词：
recessive and dominant solutions;difference equations;COMPARISON-THEOREMS;OSCILLATION;DISCONJUGACY;GROWTH
摘要：
This paper establishes the existence of recessive and dominant solutions for oscillatory second order homogeneous linear difference equations. Growth properties and comparison results concerning these solutions are established. Such information is then used to generalize the limit point results in the literature. © 2004 Elsevier Ltd. All rights reserved.
语种：
英文
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Oscillation for a class of neutral parabolic differential equations
作者：
Ouyang, Z* ;Zhou, SF;Yin, FQ
期刊：
Computers & Mathematics with Applications ,2005年50(1-2):145-155 ISSN：0898-1221
通讯作者：
Ouyang, Z
作者机构：
[Ouyang, Z] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China.;Nanhua Univ, Dept Math, Hengyang 421001, Peoples R China.
通讯机构：
[Ouyang, Z] S;Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China.
关键词：
Differential equation;Eventually positive solution;Neutral;Oscillation;Parabolic
摘要：
Some sufficient conditions are established for the oscillation of a class of neutral parabolic differential equations of the form, ∂N(u(x,t)-∑k=1rλku(x,t-ρk))∂tN-a(t)Δu+∑i= 1npi(x,t)u(x,t-σi)-∑j=1mqj(x,t)u(x,t-τj)+h(t)f(u(x,t-r1),u(x,t-rl) )=0,(x,t)∈Ω×[t0,+∞)≡G,t0∈R+, where N is an odd number, Ω is a bounded domain in RM with a smooth boundary ∂Ω, and Δ is the Laplacian operation with three different boundary conditions. We obtained some new oscillatory conditions for the odd-order neutral parabolic differential equation. To some extent, our results are new oscillatory conditions, and extended some oscillatory results of some references. © 2005 Elsevier Ltd. All rights reserved.
语种：
英文
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Global Attractivity of xn+1 = )1 − α)xn + βe−γxn−k
作者：
Ma, MJ* ;Yu, JS
期刊：
Computers & Mathematics with Applications ,2005年49(9-10):1397-1402 ISSN：0898-1221
通讯作者：
Ma, MJ
作者机构：
[Ma, MJ] Nanhua Univ, Dept Math Phys, Hengyang 421001, Hunan, Peoples R China.;Guangzhou Univ, Dept Math Appl, Guangzhou, Guangdong, Peoples R China.
通讯机构：
[Ma, MJ] N;Nanhua Univ, Dept Math Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
A Haematopoiesis model;Difference equations;Global attractivity;Limiting method;Positive equilibrium
摘要：
This paper deals with a Haematopoiesis model. We establish sufficient conditions for the global attractivity of the positive equilibrium of this modee. The results obtained greatly improve some known results in literature. © 2005 Elsevier Ltd. All rights reserved.
语种：
英文
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The rule of semicycle and global asymptotic stability for a fourth-order rational difference equation
作者：
Li, XY* ;Zhu, DM
期刊：
Computers & Mathematics with Applications ,2005年49(5-6):723-730 ISSN：0898-1221
通讯作者：
Li, XY
作者机构：
[Li, XY] Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China.;E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China.
通讯机构：
[Li, XY] N;Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China.
关键词：
rational difference equation;semicycle;cycle length;global asymptotic stability;RECURSIVE SEQUENCE
摘要：
In this paper, the rule for the lengths of positive and negative semicycles of nontrivial solutions of the following fourth-order rational difference equation,xn+1=xnbxn-2+xn-3b+axnb+xn-2xn-3b+a,n=0,1,2,..., where a, b ε [0, ∞) and the initial values x-3,x-2,x -1,x0 ε (0, ∞), to successively occur is found to be ..., 4+, 3-, 1+, 2-, 2 +, 1-, 1+, 1-, 4+, 3 -, 1+, 2-, 2+, 1-, 1 +, 1-, 4+, 3-, 1+, 2 -, 2+, 1-, 1+, 1-, ..., by which the positive equilibrium point of the equation is verified to be globally asymptotically stable. © 2005 Elsevier Ltd. All rights reserved.
语种：
英文
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Random attractor for damped nonlinear wave equations with white noise
作者：
Zhou, SF* ;Yin, FQ;Ouyang, ZG
期刊：
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS ,2005年4(4):883-903 ISSN：1536-0040
通讯作者：
Zhou, SF
作者机构：
[Zhou, SF] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China.;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Zhou, SF] S;Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China.
关键词：
35Q;34D;58F;60H;stochastic wave equation;random attractor;Hausdorff dimension;Wiener process
摘要：
We first present the existence of a random attractor of a stochastic dynamical system generated by a damped nonlinear wave equation with white noise under the Dirichlet boundary condition and estimate the explicit bound of the random attractor. And then we obtain an estimate of the upper bound of the Hausdorff dimension of the random attractor. The obtained upper bound of the Hausdorff dimension decreases as the damping grows and it is uniformly bounded if the derivative of nonlinearity is bounded;moreover, in this case, the upper bound of the Hausdorff dimension of the random attractor is just the upper bound of the Hausdorff dimension of the global attractor for the corresponding deterministic system without noise. ©2005 Society for Industrial and Applied Mathematics.
语种：
英文
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公交车线路运营调度及评估系统的研究与实现
作者：
陈云新;谭汉松
期刊：
武汉理工大学学报 ,2005年27(9):97-100 ISSN：1671-4431
通讯作者：
Chen, Y.-X.
作者机构：
[谭汉松; 陈云新] School of Information Science and Engineering, Centre South University, Changsha 410083, China;School of Mathematics and Physics, Nanhua University, Hengyang 421001, China
通讯机构：
School of Information Science and Engineering, Centre South University, China
关键词：
数学模型;公交车调度;评估系统;面向对象
摘要：
以公交车线路运营系统为背景,提出了各站上、下车人数分布的数学模型,并以此模型为基础,为公交车线路运营的调度问题,提供了一种较好的解决方法.对线路运营的一些重要指标进行了量化分析,建立了相关的数学模型.基于面向对象技术,开发了<公交车线路运营调度及评估系统>软件.软件和相关模型实现了对线路运营进行评估和优化公交车配置.
语种：
中文
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Oscillation for a class of odd-order delay parabolic differential equations
作者：
Ouyang, ZG* ;Zhou, SF;Yin, FQ
期刊：
Journal of Computational and Applied Mathematics ,2005年175(2):305-319 ISSN：0377-0427
通讯作者：
Ouyang, ZG
作者机构：
[Ouyang, ZG] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China.;Nanhua Univ, Dept Math, Hengyang 421001, Peoples R China.
通讯机构：
[Ouyang, ZG] S;Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China.
关键词：
Delay parabolic differential equation;Eventually positive solution;Odd order;Oscillation
摘要：
Some sufficient conditions and some sufficient and necessary conditions are established for the oscillation of a class of odd-order delay parabolic differential equations of the form ∂Nu(x,t)∂tN-a(t)Δu+∑i=1npi(x,t)u(x,t-σi)-∑j=1mqi(x,t)u(x,t-τj)+h(t)f(u(x,t-r1),…,u(x,t-rl))=0,(x,t)∈Ω×[t0,+∞)≡G,t0∈R,where N is an odd integer, Ω is a bounded domain in RM with a smooth boundary ∂Ω, and Δ is the Laplacian operation with three different boundary conditions. To some extent, our results extended and improved the oscillatory results of some references. Meanwhile, we corrected some mistakes in a main conclusion of reference (J. Comput. Appl. Math. 147 (2002) 263).
语种：
英文
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Two rational recursive sequences
作者：
Li, XY* ;Zhu, DM
期刊：
Computers & Mathematics with Applications ,2004年47(10-11):1487-1494 ISSN：0898-1221
通讯作者：
Li, XY
作者机构：
[Li, XY] Department of Mathematics, East China Normal University, Shanghai 200062, China;[Li, XY; Zhu, DM] School of Mathematics and Physics, Nanhua University, Hengyang 421001, China
通讯机构：
[Li, XY ] ;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Global asymptotic stability;Rational sequence;Recursive difference equation;Semicycle
摘要：
Two sufficient conditions are obtained for the global asymptotic stability of the following two rational difference equations xn+1 = x nxn-2+a/xn+xn-2, n = 0,1,2,..., xn+1 = xn-1xn-2+a/xn-1+x n-2, n = 0,1,2,..., where a ∈ [0,∞) and the initial values x-2, x-1, x0(0,∞). © 2004 Elsevier Ltd. All rights reserved.
语种：
英文
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Dynamics of a class of nonlinear discrete-time neural networks
作者：
Zhu, HY;Huang, LH*
期刊：
Computers & Mathematics with Applications ,2004年48(1-2):85-94 ISSN：0898-1221
通讯作者：
Huang, LH
作者机构：
[Huang, LH] Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China.;Nanhua Univ, Coll Math Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Huang, LH] H;Hunan Univ, Coll Math & Economet, Changsha 410082, Hunan, Peoples R China.
关键词：
difference system;artificial neural network;delay;convergence;periodicity;DIFFERENTIAL-EQUATIONS;PERIODICITY;DELAYS
摘要：
In this paper, we consider a class of delay difference systems with piecewise constant nonlinearity, which includes the discrete version of an artificial neural network model of two neurons described by differential equations with piecewise constant arguments. Some interesting results are obtained for the periodicity and convergence of solutions of the systems. (C) 2004 Elsevier Ltd. All rights reserved.
语种：
英文
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Global asymptotic stability of a nonlinear recursive sequence
作者：
Li, XY* ;Zhu, DM
期刊：
Applied Mathematics Letters ,2004年17(7):833-838 ISSN：0893-9659
通讯作者：
Li, XY
作者机构：
[Li, XY] Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China.;E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China.
通讯机构：
[Li, XY] N;Nanhua Univ, Sch Math & Phys, Hunan 421001, Peoples R China.
关键词：
recursive difference equation;global asymptotic stability;semicycle;DIFFERENCE-EQUATIONS
摘要：
A sufficient condition is obtained to guarantee the global asymptotic stability of the following nonlinear recursive difference equation: x n+1 = xnxn-1b + xn-2 b +a/xn-1b + xnxn-2 b +a, n = 0, 1, 2,..., where a, b ∈[0, ∞) and the initial values x-2, x-1, x0 ∈ (0, ∞ ). Some known results are included and improved. © 2004 Elsevier Ltd. All rights reserved.
语种：
英文
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