ON A LINEAR DELAY DIFFERENCE EQUATION WITH IMPULSES

IIntroductlonLet N denote the set of all Integers．FOr any a;b E N,define N(a)＝{a,a＋1,…},N(a,b)二{a,a＋1,…,b}when a＜b．Consider the dlf卜巳renceequationl 凸x。＋P。x。－。＝0;nEN(0)andN4n。;2—“－””’”门二l0 凸X。,＝~X。,,JENO);where A denotes the forward difference operator八。。＝x。＋l一 x。,{P。} Isa sequence ofnon－negative real numbers,{nj}Is a sequence ofnon－negativeIntegers with nj＜nj＋lfor j E N(1)and nj一 co as ;一 co,{4}Is a sequence。I优。且皿mb ers,…     

一类非线性差分方程的持久性与全局吸引性

本文研究了差分方程ｘ（ｎ＋１）＝ｘｐｎｆ（ｘｎ，ｘ（ｎ－ｋ１），…，ｘ（ｎ－ｋｒ））的持久性与全局吸引性，解决了文［３］提出的两个研究课题，所得结果包含了文［３］的相应结果．     

培养发散思维能力的一次教改尝试

培养发散思维能力的一次教改尝试张勤勤（湖南大学应用数学系，长沙４１０００８２）发散思维是创造性思维的核心。在数学教育中，引导学生进行发散思维的训练，对于培养创造型人才是极其重要的。所谓发散思维，即是一种从某一点出发，运用能想到的有关全部已知信息（条件...     

Electrochemical,thermal,and photophysical properties of novel two-photon absorption chromophores

Electrochemical, thermal, and photophysical properties of novel two- （BPODPA）, four- （BBPOPA）, and six-branch （TBPOA） triphenylamine chromophores are studied. The decomposition temperature of chro- mophores reaches 373 - 412 ℃. The electrochemical properties is explored by cyclic voltammetry. The ionization potential of chromophores is in the range of 5.14 - 5.18 eV. Excitation at 400 nm reveals emission peaks at 483 - 487 nm and the fluorescence quantum yields are 0.73 - 0.75 in CH2Cl2. Two-photon absorption （TPA） properties of chromophores are measured by nonlinear transmission method. The maximum TPA cross-section values are measured at 758 nm to be 20369 GM （1 GM=10^-50 cm^4 -s/photon） for TBPOA, 7024 GM for BBPOPA, and 1227 GM for BPODPA, respectively. When pumped with 800-nm laser irradiation, chromophores show strong two-photon excited blue-green fluorescence at 502 - 518 nm. These results provide a basis for understanding the electronic and optical properties of the conjugated multi-branch chromoohore in terms of the underlying molecular and electronic structures.     

一类时滞神经网络差分系统周期解的吸引性

考虑一类 Mc Culloch- Pitts型信号函数的时滞神经网络差分系统周期解的吸引性 ,所得结果改进了文献 [6 ]相关结论。     

奇数阶中立型时滞微分方程的线性化振动性

考虑奇数阶中立型非线性微分方程ｄ＾ｎ／ｄｔ＾ｎ（ｘ（ｔ）－Ｐ（ｔ）ｇ（ｘ（ｔ－τ）））＋Ｑ（ｔ）ｈ（ｘ（ｔ－σ））＝０。本文在允许Ｐ（ｔ）－１振动的条件下给出了该方程的几个线性化振动结果。     

奇数阶中立型微分方程的线性化振动性(英文)

考虑奇数阶非线性中立型方程我们建立了方程（１．１）的一个线性化振动结论以及存在正解的充分条件．