关于n元线性丢番图方程的探讨

给出n元线性丢番图方程的一种基础解法.     

ZrO2基固体电解质氧传感器的研究现状及发展趋势

近年来,由于ZrO2基固体电解质氧传感器具有高的测氧灵敏度和在高温下的化学稳定性,因而在节约能源、环境保护等方面得到了广泛的应用。该文首先介绍了ZrO2基固体电解质氧传感器的测氧原理,然后阐述了ZrO2基固体电解质氧传感器的研究现状;重点介绍了氧传感器导电理论,及在高温和低温条件下工作的氧传感器研究状况和氧传感器的应用研究,并对氧传感器未来的发展进行了分析和展望,指出为了获得高性能的氧传感器应重点发展纳米材料氧传感器。     

第二类三分子模型的球对称不稳定性

本文采用Hopf分岔理论对第二类三分子模型进行了详细的研究。结果表明,在固定边界条件下,自振荡不稳定性只能出现在稀释过程中。此外,本文还给出了时间周期解的解析表达式。     

具粘性双曲型方程组解的整体存在性

对于具粘性双曲型方程组Cauchy问题，通过引进Lax熵-熵流对的方法，得到了解的整体存在性，利用补偿紧致的方法证明了L∞逼近解的收敛性.     

Banach空间中一类强非线性发展方程的反周期解

本文讨论一类强非线性发展方程的反周期解的存在性。针对一大类既含有单调非线性算子又含有非单调非线性算子的发展方程。我们巧妙地结合单调算子理论与Leray-Schauder不动点理论，证明了其反周期解的存在性。最后，举例说明理论结果在2m阶拟线性抛物型方向的时间反周期问题中的应用。     

具有时滞的非自治的Lotka-Volterra生态系统的全局稳定性

考虑一个具有时滞的非自治的捕食——食饵生态系统。该系统是由一个捕食，二个食饵种群所构成我们给出了系统的周期解是全局稳定的充分条件。     

Influence of Microstructure and Sintering Routes on Transport Properties of Apatite Materials for Fuel Cells

1 Results Oxy-apatite materials are thought as zirconia-substitutes in Solid Oxide Fuel Cells due to their fast ionic conduction. However, the well known difficulties related to their densification prevent them from being used as such. This study presents strategies to obtain oxy-apatite dense materials and the influence of elaboration route on transport properties. Particular emphasis is put on the microstructure effect on ion conduction. By the combined use of freeze-drying and conventional or spark p...     

某些椭圆算子基本解之间的关系

本文在适当的假设下.给出了某些变系数椭圆算子基本解间的一些关系.可用来研究一些椭圆算子解的性质.     

关于丢番图方程x~2+27y~2=4p

分类讨论了方程x2 +2 7y2 =4p解的存在性 ,给出其有解的一个充要条件 .     

Mechanism of Microwave Effects on Conductivity of Solution

The relation between microwave conductivity and normal conductivity of solution is compared in this thesis. By building mathematical model and theoretical analyses, it indicates that the relationship of in situ conductivity of solution in microwave field and temperature is similar to that in non-microwave field. It can be expressed by quadratic equation but the values of both conductivities are different. Microwave field has effect on the mean path δ or hot vibrational frequency v of ions in solution. In microwave field, the mean energy barrier, which ions must surmount as they transit, is the function relation to temperature.