中立型微分方程零解的稳定性与全局Hopf分支

本文用Ｒｏｕｃｈｅ定理建立起关于一般的超越函数的零点分布定理，以此定理为基础，结合应用吴建宏等用等变拓扑度理论建立起的一般泛函微分方程的Ｈｏｐｆ分支定理，研究了描述无损传输网络线路的中立型微分方程的零解的稳定性和全局Ｈｏｐｆ分支．     

Existence of positive periodic solutions for two kinds of neutral functional differential equations

In this work, we deal with a new existence theory for positive periodic solutions for two kinds of neutral functional differential equations by employing the Krasnoselskii fixed-point theorem. Applying our results to various mathematical models we improve some previous results.     

Neutral particle modelling assumptions: Theory and experiment

The neutral particle recycling models that have been used to date in numerical plasma confinement simulations are by no means equivalent but may lead, instead, to divergent results. As a consequence of this confinement studies based on individual neutral assumptions must be received with a healthy degree of scepticism. We go on to compare experimental observations of the time development of plasma density, temperature, and neutral pressure made in an electrostatic surface trap with numerical plasma simulations incorporating a number of alternative neutral models.     

具有无限时滞的中立型高维周期微分系统的周期解

本文考虑中立型高维周期微分系统d/dt(x(t)+cx(t-r))=A(t,x(t-r(t)))x(t)+ ∫t-∞C(t,s)x(s)ds+f(t,xt)+b(t)的T-周期解的存在性问题,利用线性系统的指数型 二分性和Krasnoselskii不动点定理,建立了保证系统存在T-周期解的充分条件.     

利用强磁场剥离负氢离子获得中性束

本文用改进的微扰理论计算了在均匀磁场中高速运动的H~-离子的自离化寿命,讨论了H~-离子波函数的选择和连续态波函数的归一化,并用五参数Rotenberg-Stein波函数进行了具体的数值计算,与G.M.Stinson等人所得的实验结果进行了比较。     

一类中立型时滞微分方程解的渐近性

本文考虑一类非线性中立型时滞微分方程解的渐近性，给出了方程的解收敛于常数的结果．所得结论改进和推广了文献中的某些已知结果．     

Existence and uniqueness of periodic solutions for a kind of first order neutral functional differential equations

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for the first order neutral functional differential equation of the form

(x(t)+Bx(t−δ)^)′=g₁(t,x(t))+g₂(t,x(t−τ))+p(t).     

Periodic solutions for a neutral nonlinear dynamical equation on a time scale

Let T be a periodic time scale. We use a fixed point theorem due to Krasnosel'ski? to show that the nonlinear neutral dynamic system with delay

     

A novel thiocyanate-selective electrode based on a zinc–phthalocyanine complex

A novel thiocyanate (SCN⁻)-selective PVC membrane electrode based on a zinc-phthalocyanine (ZnPc) complex as neutral carrier is described. The membrane electrode containing ZnPc with 5.1% (w/w) ionophore, 29.2% (w/w) PVC, and 65.7% (w/w) 2-nitrophenyl octyl ether (o-NPOE) as plasticizer displayed an anti-Hofmeister selectivity sequence , and exhibited near-Nernstian potential response to thiocyanate ranging from about 1.0×10⁻¹ to 1.0×10⁻⁶ mol L⁻¹ with a detection limit of 7.5×10⁻⁷ mol L⁻¹ and a slope of 58.1±0.5 mV per decade in pH 3.0 phosphate buffer solution at 25 °C. This preferential response is believed to be associated with the unique coordination between the central metal of the carrier and thiocyanate.      

中立型时滞微分方程的渐近稳定性

考虑具有正负系数的中立型时滞微分方程ｄｄ狋［狓（狋）－犘（狋）狓（狋－τ）］＋犙（狋）狓（狋－δ）－犚（狋）狓（狋－σ）＝０，　狋≥狋０， 其中Ｐ（ｔ）∈Ｃ（［ｔ０，∞），Ｒ），Ｑ（ｔ），Ｒ（ｔ）∈Ｃ（［ｔ０，∞），Ｒ＋ ），τ，δ，σ∈（０，∞）．获得了该方程零解 一致稳定及渐近稳定的充分条件，它推广并改进了现有文献中的结论．