圆板几何非线性方程摄动解的收敛性

本文从一般角度出发,详细讨论了圆薄板几何非线性方程的正则摄动解和对应的迭代解的计算格式以及它们两者之间的关系,通过证明迭代解的收敛性,解决了摄动解在区域上一致收敛这一棘手问题。     

一类具有偏差变元的积分—微分方程解的渐近性质

~~     

离子对高效液相色谱在无机分析中的应用

本文简单回顾了离子对高效液相色谱作为一种先进的分析手段在无机分析领域中的发展历史,并对其特点、保留机理、应用现状和发展前景四个方面作了详细的介绍。     

一类在自由边界上给出动力学条件的一相stefan问题

考虑一类在自由边界上给出动力学条件的一相stefan问题:其中α,α,β>0. 本文证明了在一定条件下,其经典解存在、唯一。     

关于两类重要微分不等式

本文研究了两类重要微分不等式有界解的性质。引入了赋范线性空间(f,‖‖M),利用比较定理和黎卡提方程解的性质,给出了有界解的上界估计式,推广和改进了文[1,2]中的有关结果.     

NUMERICAL ANALYSIS OF QUASICONFORMAL MAPPINGS BY CIRCLE PACKINGS

Thurston proposed that conformal mappings can be approximated by circle packing isomorphisms and the approach can be implemented efficiently. Based on the circle packing methods the rate of convergence of approximating solutions for quasiconformai mappings in the plane is discussed.     

某类线性系统的指数型二分性和概周期解及有界解的存在性

得到εdx/dt=A(t)x的扰动系统具有指数型二分性一个充分条件，作为应用得到其扰动系统概周期解及有界解的存在性，推广了[1,2,3]的结果。     

对G.Ladas的一个开问题的解答

本文获得了一个高阶非线性差分方程具有无界正解的充分条件，所得结果解决了G.Ladas提出的一个开问题。     

Cntinuity of Some Classes of Functions Related to Degenerate Parabolic Equations and Its Applications

We study some classes of functions satisfying the assumptions similar to but weaker than those for the classical B2 function classes used in the research of quasi-linear parabolic equations as well as the ones used in the research of degenerate parabolic equations including porous medium equationsl.Comsequently,we prove that a function in such a class is continuous.As an application,we obtain the estimate for the continuous modulus of the solutions of a few degenerate parabolic equations in divergence form,including the anisotropic porous equations.     

Iterative solutions for low lying excited states of a class of SchrSdinger equation

The convergent iterative procedure for solving the groundstate Schr?dinger equation is extended to derive the excitation energy and the wavefunction of the low-lying excited states. The method is applied to the one-dimensional quartic potential problem. The results show that the iterative solution converges rapidly when the coupling g is not too small.