线性矩阵不等式F_0＋sum from j＝1 to k of x_j F_

应用矩阵求迹运算“ｔｒ（·）”得到了线性矩阵不等式Ｆ_０＋sum from j=1 to k of ｘ_ｊ Ｆ_ｊ＞０解的充分条件，这些充分条件皆为应用中容易检验的代数不等式．并据此给出了相应的代数解     

关于不定方程组9x~2－7y~2＝2，32y~2－9z~2＝23

利用不定方程ｘ２－Ｄｙ２＝Ｃ（Ｄ∈Ｎ，Ｃ∈Ｚ－｛０｝）的整数解的结构，给出了不定方程组９ｘ２－７ｙ２＝２，３２ｙ２－９ｚ２＝２３的所有正整数解的一个表达式．由这个表达式，经过初等计算，可得到该不定方程组的正整数解     

用通量分裂法解非凸Hamilton－Jacobi方程的主要算法

通过将非凸通量分解成凸通量与四通量之和，利用Ｌｅｇｅｎｄｒｅ变换将非线性Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ方程化为一族线性方程，然后求出该族方程的主要解。此解便是原方程的粘性解，从而完善地解决了一般非凸Ｈａｍｉｌｔｏｎ－Ｊａｃｏｂｉ方程的求解问题。     

使用置换定理应注意其条件

研究了电路理论中有关置换定理的使用条件，强调置换定理必须在一定条件下才能使用，这个条件就是置换前、后的电路必须具有唯一解。当线性非时变电路中含有某种受控源时，可能不存在唯一解，不能使用置换定理求解响应     

铝酸钠溶液分解过程的红外光谱研究

本文用红外光谱方法跟踪了铝酸钠溶液的分解过程,提出了铝酸钠溶液分解过程中含铝阴离子的转变方式,探讨了分解反应机理。     

一类非线性薛定谔方程的孤子解

 研究了具有V(x,t)=f₁(t)x+f₂(t)x²形式的外部势的非线性薛定谔方程的单一孤立子解.结果表明:当孤立子的中心满足带有势V(x,t)的牛顿方程,孤立子的内部结构由"体固定"坐标系决定.孤立子的结构与f₁(t)无关.若f₂(t)与t无关,孤立子是固定的.原则上,若f₂(t)剧烈变化,则孤立子将扩散.但数值计算表明,在一定条件下,孤立子还是经得起f₂(t)的剧烈变化.     

An exact solution for a normal point source problem

This paper presents an exact algebraic solution for a normal point source problem on elastic half-space due to impact pulse by adopting the Cagniard-Hoop method and improving Pekeris‘ partial fraction decomposition means.     

The symmetric solutions of affiliated value model

0　IntroductionIntheprocessofR&Ditem ,thereisusuallycompetition .ManyfirmswanttoinvestR&Dtoobtainapatent.Lury[1 ] gaveanequilibriuminvestmentundertheconditionofone timeinvestmentandcontinuousinvestmentwhenthepayoffwasafixedprize.Ref.[2 ]analyzedtheeffectofinformationsharinginR&D .TherearemanyliteraturesaboutanalysisofR&DlevelswhenfirmscompeteinoutputmarketafterR&Dsucceeds[3 ,4] .Additionally ,todecideinvestmentlevel,therearemanyliteraturesaboutR&Ditem’spricing .MondherBellalah[5] ,K .…     

一类非线性微分方程的周期解

研究了一类四阶非线性微分方程,运用Liapunov函数,得到了该微分方程存在周期解的充分条件．     

Neuronal plasticity and regeneration in the olfactory system of mammals: morphological and functional recovery following olfactory bulb deafferentation

The mammalian olfactory system has the unique property in the permanent turnover of the olfactory sensory neurons under normal conditions and following injury. This implies that the topographical map of the epithelium-to-bulb connections generated during ontogenesis has to be maintained despite neuron renewal in order to insure olfactory information processing. One way to investigate this issue has been to disrupt the peripheral connections and analyze how neural connections may be reestablished as well as how animals may perform in olfactory-mediated tasks. This review surveys the main data pertaining to both morphological and functional recoveries taking place in the peripheral olfactory system following olfactory bulb deafferentation. Conclusions from these studies are enlightened by recent data from molecular biology.