1) Differential inequality method
微分不等式方法
1.
By using Upper and Lower solutions method,Leray-Schauder degree theory and Differential inequality method,we establish the existence and uniqueness theorems for a kind of nth-order nonlinear two-point boundary value problems with weaker Nagumo condition, and we give an example to demmonstrate our results.
本文利用Leray-schauder度理论,上下解方法及微分不等式方法等,在较弱的Nagumo条件下得到了一类n阶非线性两点边值问题解的存在性与唯—性结果,并给出了应用举例。
2) differential inequality
微分不等式
1.
Applications of Differential Inequality in Several Nonlinear Boundary Value Problems;
微分不等式在若干非线性边值问题中的应用
2.
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
利用微分不等式技巧研究了某一类二阶Hammerstein型积分微分差分方程的两点边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理。
3.
Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.
利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理。
3) differential inequalities
微分不等式
1.
Second order neutral differential inequalities with delay and minimum;
含最小函数和时滞的二阶中立型微分不等式
2.
Miller and Mocanu［1］ obtained a number of interesting differential inequalities by using second order differential subordination.
Miller和Mocanu[1]应用二阶微分从属理论得到不少有趣的微分不等式,本文改进了他们的一些结果,并推广了Nunokawa等[2]的主要定理以及Frasin和Darus[3]的一个结果。
3.
We prove some differential inequalities of random operator valued functions making use of Hahn Banach theorem and van Neumann theorem.
利用Hahn Banach定理和vonNeumann定理证明了关于随机算子值函数的微分不等
4) differential difference inequality
微分差分不等式
1.
Based on the differential difference inequality and its related resultS in [1], a unified approach to get boundedness, stability and estimation of asymptotic orders for solutions of time-varying linear delay systems is presented.
基于文［１］中的微分差分不等式和有关结果，用统一的方法得到了有界性和稳定性的充分条件。
5) integrodifferential inequality
积分微分不等式
1.
A new integrodifferential inequality is established.
建立了一个新的积分微分不等式。
6) delay differential inequality
时滞微分不等式
1.
Based on Lipschitz continuous functions and Lyapunov functions method and the Halanays delay differential inequality, some algebraic criterions of globally exponential stability for the type of systems are obtained via constructing appropriate continuous and non-differential scalar and vector Lyapunov functions and quadratic form Lyapunov function, re.
在所给函数为Lipschitz连续的情况下,利用Lyapunov 函数方法并结合Halanay时滞微分不等式,分别构造适当的连续但不一定可微的数量或向量Lyapunov函数和二次型Lyapunov函数,获得了几个保证此类分离变量型时滞系统的平衡点为全局指数稳定的时滞相关和时滞无关的代数判据。
2.
The sufficient conditions of exponential stability about this system are obtained by matrix measure and delay differential inequality, the results of the paper [1～3] are extended and improved.
用矩阵测度和时滞微分不等式研究了单滞后时变区间动力系统 x(t) =N[P(t) ,Q(t) ]x(t) +N[C(t) ,D(t) ]x(t -τ) ,τ≥ 0 的指数稳定性 ,给出了其指数稳定的判别准则 ,推广和改进了文 [1～ 3]的工
3.
Based on the delay differential inequality,some simple and useful criteria for the networks to be exponentially stable at equilibrium are presented.
基于时滞微分不等式的方法,提出此网络在平衡点的渐近指数稳定的充分条件。
补充资料：Harnack不等式(对偶Harnack不等式)
Harnack不等式(对偶Harnack不等式)
quality (dual Hatnack inequality) Harnack in-
【补注】一直到G的边界的H助nack不等式，见【AZI.l翻..‘不等式(对停H山丸朗k不等不)[ Har.改沁-勺函勺(d切红Hat’I犯‘k如为uaJ卿);rap.姗二p魄HcT助(月加湘oe)] 给出正调和函数的两个值之比u(x)/“(y)的上界和下界估计的一个不等式，由A.Hai，剐火(汇IJ)得到.令u)0是n维E议当d空间的区域G中的一个调和函数;令E。(y)是中心在点y处半径为;的球{x:}x一y!<;}.若闭包万了刃.CG，则对于所有的、“凡(，)，o
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条