Existence and Stability of Periodic Solutions for Reaction-diffusion Systems with Time Delays

Periodic solutions of reaction-diffusion systems with time delays are investigated. It is constructed that the - per and lower control function of nonmonotone reaction term, and it is showed that the function satisfies a global Lipschitz condition and quasimonotone. A sort of effective method of studying differential equation with nonmonotone reaction term is gained. By using the method of upper and lower solutions and fixed point theorem, it is shown that periodic solutions of this system exist when reaction-term is not monotone and the boundary value system has a pair of coupled-upper and lower solutions. Some methods for proving the stability of the periodic solution are also given. And some known resuits are extended.     

Minimal Periodic Solutions of SuperquadraticFirst Order Convex Hamiltonian Systems

This paper generalizes all known results on Rabinowitz's minimal periodic solution conjecture under the assumption that Hamiltonian function is C2 strictly convex.     

The Minimal Periodic Solutions to The Subquadratic Second Order Hamiltonian Systems

The existence of the minimal periodic solutions to two classes of the nonconvex subquadratic autonomous second order Hamiltonian systems is studied on the basis of the Rabinowitz' s saddle point theorem and the Morse index estimation of its critical points.     

The Application of the Nehari Arguments to the Problems of the Existence about the Minimal Periodic Solutions of the Hamiltonian Systems

Using the Nehari argument about the constrained extreme values and the theorem that the functional defined on complete Finsler manifold and satisfying the Palais-Smale condition and having lower bound has a minimal value point,we study the existence of the minimal periodic solutions for nonconvex quadratic and superquadratic second order Hamiltonian systems.     

Multiple Periodic Solutions with Fixed Period for N-body Type Problems

Using the equivariant Ljusternik-Schnirelmann theory,the estimates of the lower bound of functional values on collision sets and the estimates of the critical values for the variational functional,we obtain some results in the large concerning multiple geometrically distinct noncollinear periodic solutions of any fixed mininal period for a class of planar N body type problems. [WT5HZ]     

The Multiple Solutions for a Class of Quasilinear Elliptic Equations

A three critical point theorem is proved. As its applications, Dirichlet problem for a class of quasilinear elliptic equations cf second order is considered.     

A kind of Expert Control Combined with the Supervisory Theory for Discrete Event Dynamic Systems

To overcome the shortages of the supervisory theory for Discrete Event Dynamic Systems,a kind of expert control combined with the supervisory theory is proposed,also a practical example is given to illustrate its effectiveness.     

统计过程控制结合HACCP对苦荞饭中黄曲霉毒素防控的研究

应用统计过程控制（SPC）技术结合危害分析与关键控制点（HACCP）对苦荞饭生产过程中黄曲霉毒素污染进行有效防控,采用酶联免疫法测定黄曲霉毒素B1含量。以贵州某食品有限公司苦荞生产车间为例,确定生产过程中黄曲霉毒素污染的关键控制点为原料采收（CCP1）和加水造粒（CCP2）,对这两个关键控制点进行SPC监控,通过控制图法分析确定影响质量波动的因素,提出相应的控制方法和控制参数,从原料、设备、仓库、人员4个方面提出了黄曲霉毒素的控制方法,并对控制效果进行评估。结果表明：SPC作为苦荞饭生产过程中黄曲霉毒素污染控制工具,原料采收阶段过程能力指数Cpk由0.28提升为1.62,加水造粒阶段过程能力指数Cpk由0.16提升为1.79,工序能力均提高到一级,不合格产品数量明显降低。