新扩展强化非对称选择网的有界性与单调性

根据Petri网结构理论，讨论非对称选择网(AC)的一个子类：新扩展强化非对称选择网(NESAC)的有界性与活性单调性，判定NESAC网N结构有界的充分必要条件是，N被极小死锁簇覆盖，每个非空极小死锁H一定是个陷阱且满足|t^*∩|=|t^*∩H|=1，NESAC网仍然具有ESAC活性单调性的特征。     

一类带θ(t)型核的奇异积分算子的有界性

为了解决θ(t)型奇异积分算子在Lipschitz空间上的有界性问题,通过将标准的奇异积分核K(x,y)改为θ(t)型核K(x,y),得到θ(t)型奇异积分算子Tf(x)=∫K(x,y)f(y)dμ(y)在μ为非双倍测度时,算子Tε在Lipschitz空间上的一个等价条件:‖Tε1‖Λβ≤c1 Tε:Λβ→Λβ有界且‖Tε‖Λβ→Λβ≤c2。     

On global behavior of the system of rational difference equations xn+1=p+xn/yn-k,yn+1=q+yn/xn-k

In this paper, we investigate the boundedness character, the global attractivity and the periodic nature of the svstem of ratiol difference equatious:xn+1=p+yn-k/xn,yn+1=q+xn-k/yn,n=0,1,2..., where p>0, q>0, k∈ of the system of rational difference equations:xn+1=P+yn-k/xn, yn=q+xn-k/yn,n=0,1,2 {1,2,…} and the initial values x1, y1∈(0,∞), i=- k, -k+1,… 0. Some new results are obtained.     

Some Notes of p-Moment Boundedness of Nonlinear Differential Equation with Pandom Impulses

Introduction Since various impulsive phenomena occur ex-tensively in industrial engineering, biology, phy-sics, technology, etc, the nonlinear impulsive dif-ferential equation has drawn much attention frommany mathematicians in recent years, and some ofits qualitative properties have been studied. Sun,et al[1-3]discussed the stability about the nonlinearimpulsive differential equation. Zhang, et al[4]gavethe formula solutions of first order variable coeffi-cient linear impulsive differential e…