1) nonlinear impulsive delay dynamic system
非线性脉冲泛函微分系统
2) impulsive functional differential system
脉冲泛函微分系统
1.
This paper is mainly concerned with the controllability of impulsive functional differential system in Banach space.
借助Leray-Schauder(非线性抉择)定理,对抽象空间中一类一阶脉冲泛函微分系统适度解的可控性问题进行了研究。
2.
we study impulsive stabilization of third-order delay differential system as followsand the stability of impulsive functional differential system with p-delay as follows Impulsive effects exist in many evolution processes in which states are changed abruptly at certain moments of time.
本文主要研究三阶时滞微分系统在满足一定条件情况下的脉冲镇定问题，以及p-滞后型脉冲泛函微分系统的稳定性。
3.
In this paper, we study stability and boundedness for impulsive functional differential systems as followsand impulsive hybrid differential system as followIn this dissertation,we study some stability properties for impulsive functional differential systems and impulsive hybrid differential systems employing the method of generalized second order derivatives in Lyapunov s second method.
本文主要研究脉冲泛函微分系统 (?)及脉冲混合微分系统 (?)的稳定性和有界性。
3) impulsive functional differential systems
脉冲泛函微分系统
1.
impulsive functional differential systems have been widely used in neural networks, optical control, population dynamics, biotechnology, economics and other fields, It has become a hot research topic and also attracts many mathematician s attention.
近年来，脉冲泛函微分系统已被广泛应用于神经网络，光学控制，人口动力学，生物技术，经济学等领域。
2.
In this paper, we mainly study the asymptotical stability and the strict stabilityof impulsive functional differential systems with infinite delayswhere f∈C(R_+×PC, R~n),I_k∈C(R~n,R~n),k∈N~*,0＜t_1＜t_2＜.
本文主要研究具无穷延滞的脉冲泛函微分系统 (I)的一致渐近稳定性和严格一致稳定性，其中f∈C(R_+×PC，R~n)，I_k∈C(R~n，R~n)，k∈N~*，0＜t_1＜t_2＜…＜t_k…且当k→+∞时，t_k→+∞。
4) impulsive functional differential equations
脉冲泛函微分系统
1.
At the same time,the impulsive functional differential equations represents a more natural framework for mathematical modelling of many real world phenomena,so the study of impulsive functional dynamic systems on time scales has gained vital practical significance and applied background.
同时,在自然科学与工程技术的研究中,瞬时突变现象与滞后现象都是普遍存在的,其数学模型都可归结为脉冲泛函微分系统,因此研究时标上的脉冲泛函微分系统有重大的实际意义和应用背景。
6) nonlinear functional differential equation
非线性泛函微分方程
1.
Boundness of second order nonlinear functional differential equations;
一类二阶非线性泛函微分方程解的有界性
2.
Oscillatory and asymptotic behavior of solutions of the second order nonlinear functional differential equation(a(t)(y (t)σ)+q(t)f(y(τ(t))g(y (t))=0,t≥t0 are considered, where σ is a positive quotient ofeven over odd integers.
研究了二阶非线性泛函微分方程(n(t)(y'(t))σ)+q(t)f(y(τ(t))g(y'(t))=0,t≥t0解的振动性 与渐近性,其中σ是一个偶数与奇数的正商时,所得的结果是全新的。
3.
The general nonlinear functional differential equations with infinite delay was investigated.
研究一般的具有无穷时滞的非线性泛函微分方程。
补充资料：非线性泛函分析
非线性泛函分析
non-linear functional analysis
非线性泛函分析I朋Jil蓝，r为.甫OI趁1 al司砰如;讹皿此亚-。。益中扮二”“o。~“益叨“31 泛函分析(几川ctional anal郊is)的一个分支，研究无穷维向量空间之间的非线性映射(算子，见非线性算子(non刁泊口r oPemtor))和某些非线性空间类及其映射，非线性泛函分析的基本部分如下: l)Banach空间、拓扑向量空间和某些更一般空间之间的非线性映射的微分学，包括关于可微映射局部反演的定理和隐函数定理. 2)寻求从一个特定的无穷维空间到另一个空间的非线性算子的作用条件，如连续性、紧性的条件. 3)对各种不同类非线性算子(收缩的(con匕通c-硫)、紧的、压缩的(compressing)、单调的以及其他)的不动点原理;这些原理在各种非线性方程解的存在性证明中的应用. 4)研究赋予序向量空间结构的空间中的非线性算子，如单调的、凹的、凸的、有单调弱函数的以及其他的算子. 5)无穷维向量空间中非线性算子的谱性质的研究(分歧点、本征向量的连续分支等等). 6)非线性算子方程的逼近解. 7)局部线性的空间和E以nach流形的研究—整体分析(咖回analysis). 8)非线性泛函极值的研究和研究非线性算子的变分方法.
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