On the solution of Falkner-Skan equations

New existence and uniqueness proofs are given for the solutions of the equations governing the self-similar compressible boundary layer (Falkner-Skan equations). The properties of the solutions are studied and some bounds on important quantities are concluded. The paper is restricted to favourable pressure gradients and to wall cooling.     

一个反应扩散方程的自由边界问题

该文研究了一个描述原细胞生长的反应扩散方程的自由边界问题.利用非线性分析中的线性化思想和偏微分方程的估计理论,证明了该自由边界问题局部古典解的存在唯一性.     

Existence of positive solutions for three-point boundary value problems at resonance

With the help of the theorem of a fixed point index for A-proper semilinear operators established by Cremins, we get a existence theorem concerning the existence of positive solution for the second order ordinary differential equation of three-point boundary value problems at resonance.     

Existence results for second order boundary value problem of impulsive dynamic equations on time scales

In this paper, Schaefer's fixed point theorem and nonlinear alternative of Leray-Schauder type are used to investigate the existence of solutions for second order boundary value problem for impulsive dynamic equations on time scales.     

一类非线性算子方程的多重正解及其应用

本文利用不动点指数理论对一类非线性算子方程建立了多重正解的存在性定理，并将所获结果应用到Ｈａｍｍｅｒｓｔｅｉｎ积分方程和Ｓｔｕｒｍ Ｌｉｏｕｖｉｌｅ两点边值问题，得到了新的结论，本质上改进和推广了［２，４，５，６，８－１２］的工作．     

一类有不动点性的Banach空间

本文研究弱一致Opial条件的性质；弱一致Opial条件与弱一致Opial条件的对偶性；证明当对偶空间有弱一致Opial条件时该Banach空间具有不动点性．     

p-Laplace方程正解的存在性和多重性

这篇文章讨论边值问题-(| u′|p-2u′)′=λf(t ,u) ,t∈(0,1) ,p >1,u(0) =u(1) =0,其中f(t ,u)≥-M( M是正常数) ,对(t ,u)∈0,1×0,∞) .我们利用度理论和锥上的不动点定理得到方程存在两个正解.     

回归估计样本容量的确定

本文就回归估计量回归系数已知和未知两种情况，给出确定样本容量的方法．     

氯化铯和氯化镧溶剂体系及四类新化合物的合成

研究了四元体系ＣｓＣｌ－ＬａＣｌ３－ＨＣｌ－Ｈ２Ｏ（２５℃、「ＨＣｌ」＝１３％（ｗｔ），２３％（ｗｔ）和ＣｓＣｌ－ＬａＣｌ３－ＨＡｃ－Ｈ２Ｏ（３０℃，「ＨＡｃ」＝４２％（ｗｔ））的平衡态的溶度数据，并给出制了相应的溶度图，共得到了ＣｓＣｌ．ＬａＣｌ３．４Ｈ２Ｏ、２ＣｓＣｌ．ＬａＣｌ３．２Ｈ２Ｏ和３ＣｓＣｌ．ＬａＣｌ３．３Ｈ２Ｏ３种化合物。对得到的新相进行了热分析，Ｘ射线粉末衍射及偏光性质的测定，依