关于模糊工期平行机调度问题的若干结果

研究工件工期是模糊数的平行机调度问题,给出最优调度目标函数值在不同分布下该问题的4个性质,证明了Pm|di~=d~|Fmin问题是NP-难的.特别地,分析了当所有工件的dj与ej都相同时,LPT算法所得到的最小满意度相对于最优调度所对应的最小满意度的界.     

一类三阶具偏差变元微分方程的周期解

利用重合度理论研究一类三阶具偏差变元微分方程x'(t) f(x'(t)) g(x(t-τ(t)))=p(t)的2π-周期解问题,得到了存在2π-周期解的充分条件.扩展了已有文献的相关结论.     

盐酸奈福泮缓释片的制备和体外释放度

目的:研制盐酸奈福泮缓释片,并考察其体外释放度。方法:运用正交设计方法筛选缓释片的处方,通过释放试验评价缓释效果。结果:制备的缓释片在人为释放介质时可持续释药12 h,释放曲线符合Higuchi方程(r>0.99)。结论:以正交设计法优选的处方较合理,制备工艺较简单,制得的缓释骨架片具有较理想的缓释作用。     

某软土路基处理工程监测分析

以南方某港2#路软基处理工程为例,着重阐述了软土地基在堆载预压下土体的变形、固结过程,并进行了计算与试验对比分析。     

一类具有复杂偏差变元的Liénard方程周期解

利用重合度理论,研究了含复杂偏差变元的Liénard型方程的周期解问题,得到了存在周期解的改进结果.由于这个结果与偏差变元的上界有关,因此具有很好的应用前景.     

A new class of Ramsey-Turán problems

We introduce and study a new class of Ramsey-Turán problems, a typical example of which is the following one:Let ε>0 and G be a graph of sufficiently large order n with minimum degree δ(G)>3n/4. If the edges of G are colored in blue or red, then for all k∈[4,⌊(1/8−ε)n⌋], there exists a monochromatic cycle of length k.     

Pattern formation of a coupled two-cell Brusselator model

In this paper, we study the stationary problems for the coupled two-cell Brusselator model as follows

     

Hadwiger number and chromatic number for near regular degree sequences

We consider a problem related to Hadwiger's Conjecture. Let D=(d₁, d₂, …, d_n) be a graphic sequence with 0?d₁?d₂?···?d_n?n?1. Any simple graph G with D its degree sequence is called a realization of D. Let R[D] denote the set of all realizations of D. Define h(D)=max{h(G): G∈R[D]} and χ(D)=max{χ(G): G∈R[D]}, where h(G) and χ(G) are Hadwiger number and chromatic number of a graph G, respectively. Hadwiger's Conjecture implies that h(D)?χ(D). In this paper, we establish the above inequality for near regular degree sequences. © 2009 Wiley Periodicals, Inc. J Graph Theory 64: 175–183, 2010     

超线性奇异Neumann边值问题的非平凡解

利用拓扑度计算,研究了一类超线性奇异Neumann边值问题非平凡解的存在性,其中非线性项可变号且下方无界.