不可微泛函拟极小问题解的正则性

本文对P＞1的情形给出不可微泛函I(u,G)= ∫FG（x,u, ↓△）dx的(1 cR^2u）一极小问题解梯度的Holder连续性证明。     

模糊逻辑函数中短语的可消性

设Ｆ＝ａＰ＋ａ＿１Ｐ＿１＋……＋ａ＿ｍＰ＿ｍ是非冗余析取范式，本文获得了当ａ＞０．５时，ａＰ可消当且仅当ａＰ是冗余项，当ａ≤０．５时，给出了ａＰ可消的一个判别准则，然后归纳出短语可消性的判定法则。     

带耗散的一阶非线性偏微分方程组的Cauchy问题

本文采用整体迭代法证明了带小初值的一阶非线性耗散偏微分方程组的Cauchy问题的整体经典解的存在性及指数衰减性质。     

多方过程几种定义说法等效性的证明

多方过程，又名多变过程，在热力工程中有重要的实用价值．在普通物理热学教材中对于多方过程的讲解，一般是不加推导直接利用理想气体的绝热过程得出多方过程方程，有关多方过程的定义说     

Synchronization of Chaotic Storage-Ring Free-Electron Laser by Bi-Directional Coupling Scheme with the Coupling Strength Varied Periodically

We analyse the chaotic dynamics of storage-ring free-electron lasers and report a bi-directional coupled scheme with the coupling strength varied periodically to synchronize two chaotic storage-ring free-electron lasers. The period is the same as the period of system＇s external modulation. ,The possibility of synchronization is proven according to the Lyapunov stability theory. The results of numerical simulation are obtained. Both the numerical simulation and theoretic analysis show that two storage-ring free-electron lasers can be controlled in the synchronization in a short time with this method.     

Field Quantization and Spontaneous Emission in Left-handed Material

Recently, research on left-handed materials （LHMs） has attracted considerable attentions. The LHMs are a kind of man-made metameterials which have negative permittivity and negative permeability. These metameterials have many novel properties such as inverse light pressure, and reverse Doppler effect, which lead to many potential applications of LHMs such as superlenses which, in principle, can achieve arbitrary subwavelength resolution. However, though the properties mentioned above are seen to be classical, the quantum phenomena in LHMs have also attracted attentions such as the modified spontaneous emission of atoms in LHME.