Nonlinear Dynamics and Stability of Neural Networks with Delay-Time

In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks.     

Existence of Positive Periodic Solutions for the SIV Epidemic Model with Impulsive Vaccination and Infection-Age

In this paper, we discuss the SIV epidemic model with impulsive vaccination and infection-age. Bifurcation theory and Lyapunov-Schmidt series expansion are used to show the existence of the positive periodic solutions under some conditions.     

A New ANN Method of Aggregation and Stability Analtsis for Large－Scale System with Time Delay

ＡＮｅｗＡＮＮＭｅｔｈｏｄｏｆＡｇｇｒｅｇａｔｉｏｎａｎｄＳｔａｂｉｌｉｔｙＡｎａｌｔｓｉｓｆｏｒＬａｒｇｅ－ＳｃａｌｅＳｙｓｔｅｍｗｉｔｈＴｉｍｅＤｅｌａｙ￥ＺＨＡＮＧＪｉａｎ；ＬＩＵＹｏｎｇｑｉｎｇ；ＳＨＥＮＪｉａｎｊｉｎｇ（Ｄｅｐｔ．ｏｆＡｕｔ...     

Stability of Singular and Time－Delay Measure Differential Large－Scale Systems with Impulse Effects

ＳｔａｂｉｌｉｔｙｏｆＳｉｎｇｕｌａｒａｎｄＴｉｍｅ－ＤｅｌａｙＭｅａｓｕｒｅＤｉｆｆｅｒｅｎｔｉａｌＬａｒｇｅ－ＳｃａｌｅＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｅＥｆｆｅｃｔｓＧＵＡＮＺｈｉｈｏｎｇ；ＬＩＵＹｏｎｇｑｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｕ...     

The θ－Methods in Numerical Solution of Systems of Differential Equations with Two Delay Terms

Ｔｈｅ　θ－Ｍｅｔｈｏｄｓ　ｉｎ　Ｎｕｍｅｒｉｃａｌ　Ｓｏｌｕｔｉｏｎ　ｏｆ　Ｓｙｓｔｅｍｓ　ｏｆ　Ｄｉｆｆｅｒｅｎｔｉａｌ　Ｅｑｕａｔｉｏｎｓ　ｗｉｔｈ　Ｔｗｏ　Ｄｅｌａｙ　ＴｅｒｍｓＴｉａｎＨｏｎｇｊｉｏｎｇ＆ＫｕａｎｇＪｉａｏｘｕｎ（Ｄｅｐａｒ...     

Global Exponential Stability of Variable Delay and Time－varying Measure Differential Systems with Impulse Effect

ＧｌｏｂａｌＥｘｐｏｎｅｎｔｉａｌＳｔａｂｉｌｉｔｙｏｆＶａｒｉａｂｌｅＤｅｌａｙａｎｄＴｉｍｅ－ｖａｒｙｉｎｇＭｅａｓｕｒｅＤｉｆｆｅｒｅｎｔｉａｌＳｙｓｔｅｍｓｗｉｔｈＩｍｐｕｌｓｅＥｆｆｅｃｔＧＵＡＮＺｈｉｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＢａ...     

Study on Variation of Parameters Formula and Stability for Impulsive Time－Delay Nonlinear Large Scale Systems

ＳｔｕｄｙｏｎＶａｒｉａｔｉｏｎｏｆＰａｒａｍｅｔｅｒｓＦｏｒｍｕｌａａｎｄＳｔａｂｉｌｉｔｙｆｏｒＩｍｐｕｌｓｉｖｅＴｉｍｅ－ＤｅｌａｙＮｏｎｌｉｎｅａｒＬａｒｇｅＳｃａｌｅＳｙｓｔｅｍｓＧＵＡＮＺｈｉｈｏｎｇ（Ｄｅｐｔ．ｏｆＢａｓｉｃＳｃｉｅｎｃ...     

Integration of Decision－Support and Knowledge－Based Techniques in a Problem－Solving Strategy for Sel

ＩｎｔｅｇｒａｔｉｏｎｏｆＤｅｃｉｓｉｏｎ－ＳｕｐｐｏｒｔａｎｄＫｎｏｗｌｅｄｇｅ－ＢａｓｅｄＴｅｃｈｎｉｑｕｅｓｉｎａＰｒｏｂｌｅｍ－ＳｏｌｖｉｎｇＳｔｒａｔｅｇｙｆｏｒＳｅｌｅｃｔｉｏｎＰｒｏｂｌｅｍｓＤａｖｉｄＭｃＳｈｅｒｒｙ（Ｓｃｈｏｏｌｏｆ...     

Optimal Decision Rule of the inventory Problem for Deteriorating items with Shortages and Time－varying Demand

ＯｐｔｉｍａｌＤｅｃｉｓｉｏｎＲｕｌｅｏｆｔｈｅｉｎｖｅｎｔｏｒｙＰｒｏｂｌｅｍｆｏｒＤｅｔｅｒｉｏｒａｔｉｎｇｉｔｅｍｓｗｉｔｈＳｈｏｒｔａｇｅｓａｎｄＴｉｍｅ－ｖａｒｙｉｎｇＤｅｍａｎｄ￥ＺＨＯＵＹｏｎｇｗｕ（ＨｅｆｅｉＵｎｉｖｅｒｓｉｔｙｏｆＴ...     

Existence and Stability for Periodic Solution of Cooperation Ecosystem with Diffusion

ＥｘｉｓｔｅｎｃｅａｎｄＳｔａｂｉｌｉｔｙｆｏｒＰｅｒｉｏｄｉｃＳｏｌｕｔｉｏｎｏｆＣｏｏｐｅｒａｔｉｏｎＥｃｏｓｙｓｔｅｍｗｉｔｈＤｉｆｕｓｉｏｎ⒇ＸＩＥＺｈｅｎｄｏｎｇＸＩＥＳｈｅｎｇｌｉＬＩＵＹｏｎｇｑｉｎｇＤｅｐａｒｔｍｅｎｔｏｆＡｕｔｏｍａ...     

Existence and Stability of Positive Periodic Solution of Delay Logistic Ecosystem with Feedback Control and Diffusion

1IntroductionWeconsiderthedelaylogisticecosystemwithfeedbackcontrolanddiffusionoftheformConcerningthestabilityproblemofpositivestead-stateforsystem(1.1),ithasbeendiscussedbyX.Shengli[1],whereastheasymptoticbehaviorofsolutionsofsystem(1.1)withoutdiffusionhasalsobeenconsideredbyK.Gopalsamy[2]andtheoscillationofsystem(1.1)withoutdiffusionandfeedbackcontrolcanbefoundinreference[3](K.GopalsamyandG.Ladas),Inreference[4],J.Dangpinghasgivedsufficientconditionsofexistenceandstabilityofperiodicsolut…     

非对称异性人口的HIV/AIDS流行病模型的平衡点的存在性和稳定性

主要讨论非对称异性人口的 HIV/AIDS流行病模型的平衡点的存在性 ,并给出其稳定的条件.     

PERIODIC SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY OF A DELAYED DISCRETE PREDATOR-PREY SYSTEM WITH HOLLING II TYPE FUNCTIONAL RESPONSE

In this paper, we study the existence and global asymptotic stability of positive periodic solutions of a delayed periodic predator-prey system with Hoffing Ⅱ type functional response. By use of the continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions are obtained.     

两部件并联维修系统解的渐近稳定性

研究了两部件并联维修系统,在系统非负解存在惟一的基础上,利用系统算子生成的Banach空间中的正压缩C0半群,证明了系统的非负稳定解恰是系统算子0本征值对应的非负本征向量.同时通过研究系统算子的谱特征,证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱,进而得到系统的渐近稳定性.     

EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FOR STOCHASTIC IMPULSIVE SYSTEMS

This paper studies the existence, uniqueness, and stability of solutions for stochastic impulsive systems. By employing Lyapunov-like functions, some sufficient conditions of the global existence, uniqueness, and stability of solutions for stochastic impulsive systems are established. Furthermore, the results are specialized to the case of linear stochastic impulsive systems. Finally, some examples are given to illustrate the applications of our theory.     

Periodic solution and persistence for a three-species ratio-dependent predator-prey model with time delays in two-patch environments*

The author considers a three-species ratio-dependent predator-prey model with time delay in a two-patch environments. This model is of periodic coefficients, which incorporates the periodicity of the environment. By means of the coincidence degree theory, sufficient conditions for the existence of at least one positive periodic solution of this model are established. Moreover, The author shows that the system is uniformly persistent under the conditions.     

一类快速实时仿真算法的稳定性和收敛性

构造了一类非整点步右函数求值的快速实时的数字仿真混合算法。该类算法在每个积分步内只需进行了一次右函数的求值,且与相同工作量的方法相比数值稳定性区域大,方法的误差小,数值试验也表明算法是有效的。本文主要对这类算法进行了收敛性和稳定性分析。