Banach空间二阶微分方程的周期解

研究了有序Ｂａｎａｃｈ空间中二阶微分方程周期解的存在性,利用凸锥理论与上、下解方法获得了周期解的存在性结果,并把Ｌｅｅｌａ关于二阶常微分方程的结果推广到了无限维空间．     

二阶非线性非驻定系统——周期解的存在性

讨论二阶非线性非驻定系统周期解的存在性,给出相应的例子加以说明。     

反胶束溶液和血红蛋白水溶液相平衡的研究

研究了十六烷基三甲基溴化铵－正庚烷反胶束溶液和牛血红蛋白水溶液的相平衡,探讨了有机相助表面活性剂种类和浓度、水相ｐＨ值、水相离子种类和强度、表面活性剂浓度的影响,适宜条件下,牛血红蛋白的萃取率可达９５％以上。对实验结果从表面活性剂极性头与蛋白质分子间的相互作用和反胶团包溶蛋白质时的空间阻碍作用上进行了解释。     

ze^z＋λ的动力系统

研究整函数族ｆλ（ｚ）＝ｚｅ＾ｚ＋λ（λ∈Ｃ）的动力系统。方法用Ｂａｋｅｒ研究ｅ＾λｚ所采用的方法。结果与结论设Ｄｐ＝｛λ∈｜ ｆλ（ｚ）有一个ｐ阶的吸性周期点｝,Ｄｐ表示Ｄｐ的一个连通分支。     

Hilbert空间中的发展包含

在Ｈｉｌｂｅｒｔ空间中研究发展型微分包含ｘ’＋Ａ（ｔ）ｘ∈Ｆ（ｔ,ｘ）,其中Ｆ是一个多值映象,证明了以上 系统ｍｉｌｄ解的存在性,得到一个新的存在性定理。     

Explicit analytical solutions of non-Fourier heat conduction equation for IC chip

Four basic explicit analytical solutions of non-Fourier heat conduction equation simulating IC chip thermal condition are derived. Some other analytical series solutions can also be derived with the above-mentioned basic solutions. Analytical solution has its own irreplaceable important meaning in theory. In addition, as the standard solution to check the accuracy, convergence and effectiveness of various numerical computational methods and their differencing schemes, grid generation ways and so on, the analytical solution is very useful also for the newly rapidly developing computational heat transfer.     

Almost periodic solution to singular systems

The problems about the almost periodic solution to singular systems are studied. The criterion that the singular systems have almost periodic solutions is obtained. At the same time, the applied example is given.     

Preparation and optical properties of solid solution semiconductor (Zn x Cd1−x S) doped silica glasses

Semiconductor(Zn_xCd_1−x S) doped silica glasses were prepared by Sol-Gel process andin situ growth technique. The structure of the materials was characterized by X-ray diffraction technique, the particle size of semiconductor crystallites from X-ray patterns was estimated less than 10 nm. From absorption spectra, it is obtained that the absorption edges shifted to short wavelength direction when Zn contents increased, and the absorption edge can be adjusted from 2.46 eV to 2.96 eV by controlling Zn contents. The third-order nonlinear optical susceptibility was studied at 532 nm with 8 ns pulse laser by degenerate four wave mixing (DFWM) technique.     

关于时滞Liénard型方程的周期解

本文研究具有时滞的Lienard型方程周期解的存在性,得到了一些新的结果。     

(磁)流体波动力学问题的近似求解─参数微分法

针对非线性物理如等离子体物理、流体力学、大气科学等领域中信受人们关注的两类摄动问题（Ⅰ）、（Ⅱ）,引进"参数微分法"得到其近似解,其结果可用于研讨摄动对原物理问题解的影响。类似的问题在许多动力学问题物理解的数值定性分析及其应用WKB方法处理时也会经常遇到。这里的方法仅对两个特例给出,无疑可用于其它类似问题的处理。