Electrochemical Reduction Characteristics of α-Nitronaphthalene inSulfuric Acid Solution

1-Amino-5-naphtholisanimportantintermediateproductfororganicsynthesis'.Itwastraditionallysynthesizedfroma-nityonaphthalenebychemicalmethod.HO:wever,thechemicalmethodneedstwostepsandproducesalargequantityofwastewater,indicatingthehigherenergyconsumptionandpollution.Inthispaper,theelectrochemicalreductionofa-nitronaphthalenetol-amino-5-naphtholwasfirstputforward,theelectrochemicalreductioncharacteristicsofa-nitronaphthalenetol-amino-5-naphtholwerestudiedandthereactionmechanismwasproposedaswell.…     

First Total Synthesis of 5_α-Hydroxy-isopterocarpolone

Sesquiterpenic compounds of the Eudesmane family have attracted considerable attention due to their intriguing biological properties1,2, particularly significant antifeedant activity, cell growth inhibitory and plant growth regulating activities.In 1996, J. Hu and co-workers3 had isolated eudesmane sesquiterpene 5?-hydroxy-isopterocarpolone 1 from the aerial parts of chinese folk medicine Artemisia eriopoda and elucidated its structure by spectropic methods. Herein, we reported the first tota…     

穷时滞泛函微分方程周期解的存在性

本文利用 Mawhin 度的方法在较容易判别和较简单的假设下,得到ω周期方程 存在周期解.     

从一道常微分方程组习题中得到的启示

基于一道微分方程组习题的分析．给出了矩阵指数函数的几个性质以及其行列式的相关结果，并对该习题做了详细的解答．     

THE STABILITY OF THE θ-METHODS FOR DELAYDIFFERENTIAL EQUATIONS

1.Introduction1.1.Thethree0-methodsWedealwiththenumericalsolutionoftheinitialvalueproblem:Heref,no!TdenotegivenfunctionswithT(t)5t,whereasu(t)isunknown(fort>to)'Withtheso--calledone--leg0--method,linear0--methodandnew0--method,onecancomputeapproximat...     

Some Estimates for Commutators of Fractional Integrals Associated to Operators with Gaussian Kernel Bounds on Weighted Morrey Spaces

Let L be the infinitesimal generator of an analytic semigroup on L2 (Rn) with Gaussian kernel bound, and let L-α/2 be the fractional integrals of L for 0<α相似文献   

Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrōdinger Equations

The Cauchy problem for a linear 2mth-order Schrōdinger equation ut=-i（-△）^mu, in R^N×R＋,u｜t=0=u0;m≥1 is an integer,is studied, for initial data uo in the weighted space L^2ρ（R^N）,withρ^＊（x）=e｜x｜^a and a=2m/2m-1∈（1,2].The following five problems are studied： （I） A sharp asymptotic behaviour of solutions as t → ＋∞ is governed by a discrete spectrum and a countable set Ф of the eigenfunctions of the linear rescaled operator B=-i（-△）^m＋1/2my·↓△＋N/2mI,with the spectrum σ（B）={λβ=-｜β｜≥0}. （Ⅱ） Finite-time blow-up local structures of nodal sets of solutions as t → 0^- and a formation of ＂multiple zeros＂ are described by the eigenfunctions, being generalized Hermite polynomials, of the ＂adjoint＂ operator B=-i（-△）^m-1/2my·↓△,with the same spectrum σ（B^＊）=σ（B）.Applications of these spectral results also include： （Ⅲ） a unique continuation theorem, and （IV） boundary characteristic point regularity issues. Some applications are discussed for more general linear PDEs and for the nonlinear Schr6dinger equations in the focusing （＂＋＂） and defocusing （＂-＂） cases ut=-（-△）^mu±i｜u｜^p-1u,in R^N×R＋,where P〉1,as well as for： （V） the quasilinear Schr6dinger equation of a ＂porous medium type＂ ut=-（-△）^m（｜u｜^nu）,in R^N×R＋,where n〉0.For the latter one, the main idea towards countable families of nonlinear eigenfunctions is to perform a homotopic path n → 0^＋ and to use spectral theory of the pair {B,B^＊}.     

中国移动通信市场的利润博弈研究

根据斯塔尔博格博弈原理,研究中国移动通信市场的营销策略,结果表明在多寡头垄断情况下,通过价格战争取客户,在用户数量达到最优,企业不能取得最大利润.只有通过准确的商业战略来指导投资方向,创建可行的商业模式,通过服务差异化等策略才能实现市场的有效竞争.     

On the Decay Property of Solutions of Viscous Burgers Equation with Boundary Feedback

In this article, we will investigate the viscous Burgers equation with boundary feedback. The existence of the solution is proved by constructing a convergence sequence inductively. Moreover, the decay property of the solution is shown based on the maximum principle for nonlinear parabolic equations.     

正二十面体、正十二面体研究的历史演进

通过论述柏拉图(Plato,B.C.427-B.C.347)、欧几里得(Euclid,约B.C.330-B.C.275)、帕波斯(Pappus,约300-350)、帕赛利(L.Pacioli,约1445-1517)、梅文鼎(1633-1721)作正二十面体、正十二面体的作图法,指出梅氏作法最为简洁,已蕴含证明,胜于上世纪苏联别列标尔金(Д.И.Перепелкин)方法,为历来最优美解.