STABILITY IN DIFFERENTIAL EQUATIONS WITH CONTINUOUS AND PIECEWISE CONSTANT ARGUMENTS

ＳＴＡＢＩＬＩＴＹＩＮＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＣＯＮＴＩＮＵＯＵＳＡＮＤＰＩＥＣＥＷＩＳＥＣＯＮＳＴＡＮＴＡＲＧＵＭＥＮＴＳＭｉｎｇ－ＰｏＣｈｅｎＳＴＡＢＩＬＩＴＹＩＮＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＣＯＮ...     

THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

ＴＨＥＥＸＩＳＴＥＮＣＥＡＮＤＵＮＩＱＵＥＮＥＳＳＡＮＤＳＴＡＢＩＬＩＴＹＯＦＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＦＯＲＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＩＮＦＩＮＩＴＥＤＥＬＡＹＳＷＡＮＧＱＵＡＮＨＮＹ...     

ON STABILITY OF SOLUTION OF A CERTAIN FOURTH ORDER VECTOR DIFFERENTIAL EQUATIONS

ＯＮ　ＳＴＡＢＩＬＩＴＹ　ＯＦ　ＳＯＬＵＴＩＯＮ　ＯＦ　Ａ　ＣＥＲＴＡＩＮ　ＦＯＵＲＴＨ　ＯＲＤＥＲ　ＶＥＣＴＯＲ　ＤＩＦＦＥＲＥＮＴＩＡＬ　ＥＱＵＡＴＩＯＮＳ　ＯＮＳＴＡＢＩＬＩＴＹＯＦＳＯＬＵＴＩＯＮＯＦＡＣＥＲＴＡＩＮＦＯＵＲＴＨＯＲＤＥＲＶＥ...     

STABILITY OF SOLUTIONS OF FIRST ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH OSCILLATORY COEFFICIENTS

ＳＴＡＢＩＬＩＴＹＯＦＳＯＬＵＴＩＯＮＳＯＦＦＩＲＳＴＯＲＤＥＲＮＯＮＬＩＮＥＡＲＮＥＵＴＲＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＯＳＣＩＬＬＡＴＯＲＹＣＯＥＦＦＩＣＩＥＮＴＳ￥ＷａｎｇＱｉｒｕ(王其如）（ＬｕｏｙａｎｇＴｅａｃｈｅｒ?..     

EXACT BOUNDS OF THE MODIFIED LPT ALGORITHMS APPLYING TO PARALLEL MACHINES SCHEDULING WITH NONSIMULTANEOUS MACHINE AVAILABLE TIMES

ＥＸＡＣＴＢＯＵＮＤＳＯＦＴＨＥＭＯＤＩＦＩＥＤＬＰＴＡＬＧＯＲＩＴＨＭＳＡＰＰＬＹＩＮＧＴＯＰＡＲＡＬＬＥＬＭＡＣＨＩＮＥＳＳＣＨＥＤＵＬＩＮＧＷＩＴＨＮＯＮＳＩＭＵＬＴＡＮＥＯＵＳＭＡＣＨＩＮＥＡＶＡＩＬＡＢＬＥＴＩＭＥＳＬＩＮＧＵＯＨＵＩ，Ｈ...     

WIDE SENSE STABILITY OF COMPLEX SYSTEMS OF DIFFERENTIAL EQUATIONS OF ARBITRARY DIMENSION

ＷＩＤＥＳＥＮＳＥＳＴＡＢＩＬＩＴＹＯＦＣＯＭＰＬＥＸＳＹＳＴＥＭＳＯＦＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＯＦＡＲＢＩＴＲＡＲＹＤＩＭＥＮＳＩＯＮ￥ＺＩＡＤＺＡＨＲＥＤＤＩＮＥＡｂｓｔｒａｃｔ：ＩｔｉｓｓｈｏｗｎｈｏｗｔｈｅｅｘｔｅｎｄｅｄＲ...     

OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF FIRST ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH PIECEWISE CONSTANT DELAY

ＯＳＣＩＬＬＡＴＯＲＹＡＮＤＡＳＹＭＰＴＯＴＩＣＢＥＨＡＶＩＯＲＯＦＦＩＲＳＴＯＲＤＥＲＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＷＩＴＨＰＩＥＣＥＷＩＳＥＣＯＮＳＴＡＮＴＤＥＬＡＹＦｅｎｇＹｕｅｃａｉ(冯月才）（ＳｏｕｔｈＣｈｉｎ?..     

A NOTE FOR THE TOPOLOGICAL CLASSIFICATION OF STRUCTURALLY STABLE QUADRATIC DIFFERENTIAL SYSTEMS WITHOUT LIMIT CYCLES

ＡＮＯＴＥＦＯＲＴＨＥＴＯＰＯＬＯＧＩＣＡＬＣＬＡＳＳＩＦＩＣＡＴＩＯＮＯＦＳＴＲＵＣＴＵＲＡＬＬＹＳＴＡＢＬＥＱＵＡＤＲＡＴＩＣＤＩＦＦＥＲＥＮＴＩＡＬＳＹＳＴＥＭＳＷＩＴＨＯＵＴＬＩＭＩＴＣＹＣＬＥＳ￥ＹｅＷｅｉｙｉｎ（叶惟寅）（ＮａｎｊｉｎｇＮ...     

NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS：A METHOD BY FOURIER SERIESES

ＮＥＣＥＳＳＡＲＹＡＮＤＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＳＦＯＲＥＸＩＳＴＥＮＣＥＡＮＤＵＮＩＱＵＥＮＥＳＳＯＦＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＮＥＵＴＲＡＬＬＩＮＥＡＲＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴ...     

CONVERGENCE AND STABILITY OF SOLUTIONSOF CERTAIN INFINITE DELAY DIFFERENTIAL EQUATIONS

ＣＯＮＶＥＲＧＥＮＣＥＡＮＤＳＴＡＢＩＬＩＴＹＯＦＳＯＬＵＴＩＯＮＳＯＦＣＥＲＴＡＩＮＩＮＦＩＮＩＴＥＤＥＬＡＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＺｈｅｎｇＢｕｎａｎ＆ＣｈｅｎＷｕｈｕａ＆ＬｕｏＧｕｉｌｉｅ（ＧｕａｎｇｘｉＮｏｒｍａｌＵｎｉ...     

具有扰动项的n维Volterra型积分微分方程的稳定性

讨论具有扰动项的n维Volterra积分微分方程.x=A(x)x(t)+∫t0C(t,s)x(s)ds+f(t,x(t))零解的稳定性及一致稳定性,得到零解稳定和一致稳定的若干充分判据.     

正负系数的扰动的中立型微分方程的稳定性

In this paper the perturbed neutral differential equation with positive and negative coefficients d/dt[x(t)-C(t)x(t-r)] p(t)x(t-x)-Q(t)x(t-δ)=f(t,x(t)),t≥t0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.     

一类非线性时滞差分方程的稳定性

得到了一类线性非自治时滞差分方程的零解的一致稳定、一致渐近稳定和全局渐近稳定的充分条件.     

一类扩张的细胞神经网络稳定性判别法

本文研究一类含有阻尼项带有时滞细胞神经网络的全局渐进稳定性和一致稳定性的性质,通过构造适当的李雅普诺夫函数及利用分析的有关知识,给出了全局渐进稳定性和一致稳定的判别法．     

Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes

The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.     

非线性灰色离散系统零解的稳定性

本文用区间矩阵和Ｌｙａｐｕｎｏｖ第二方法讨论了具有非线性扰动项的灰色离散系统的稳定性，得到了若干稳定性的代数判据，这些结果将文（５）的主要结果由线性推广到了非线性，并给出了实现的例子。     

二阶线性方程¨x（t）＋p（t）?x（t）＋q（t）x（t）＝0一致稳定的一个充分条件

研究了二阶非定常线性微分方程的稳定性，利用分析技巧、Bellman不等式及稳定性有关理论得到了该方程一致稳定的一个充分性条件，获得了新的结论。     

非线性脉冲差分方程解的稳定性

应用不等式估值法讨论了非线性脉冲时滞差分方程解的性质,并得到它的解的一致稳定性的一些充分条件.     

带时滞的比率型的食物链系统的持久性和稳定性

A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the local asymptotic stability of a positive equilibrium of the system.