三阶p-Laplacian中立型泛函微分方程的周期解

利用Mawhin重合度理论,研究一类三阶p-Laplacian中立型泛函微分方程[φp(x(t)-∑n j=1cjx(t-r))″]′+f(x(t))x′(t)+α(t)g(x(t))+∑n j=1βj(t)g(x(t-γj(t)))=p(t)周期解的存在性,得到了这类方程至少存在一个T周期解的充分条件.     

机务维修中人的安全状态评估分析

在所发生的众多航空事故中,人为因素所占的比例居高不下,而其中机务维修中的差错也尤为突出。只有从根本上控制机务维修工作中的人为差错,才能对事故的发生起到预防的作用。本文旨在探讨机务维修中人的状态能否保证维修工作顺利可靠进行的评估方法和体系的建立。本文的研究范围主要是机务维修的各个岗位中,在维修人员的各种不同状态下的调查,引用AHP层次分析法和模糊数学分析法等科学方法,科学处理数据,确定影响机务维修中人的安全状态的重要方面,从而对机务维修中人安全状态进行全面的评估。为航空公司、机场等保障机务维修工作安全进行提供了科学的方法,对保障航空安全具有现实的意义。     

变时间分数阶反应扩散方程的数值分析

考虑时变分数阶反应扩散方程的数值逼近问题。采用分段线性插值法结合对一阶时间导数的一个二阶近似离散Coimbra时变分数阶导数,用中心差分离散二阶空间分数阶导数通过数值例子验证了提出的数值方法,说明了数值方法的有效性。     

一类基于第三十一家族的LA-群

利用群的扩张理论对p6阶群椎31（16）进行了推广,得到了一类新的P-群,给出了它的一些性质,特别地验证了它是LA-群。     

图着色问题的逆序蚁群算法研究

针对经典的图着色问题,依据传统图着色算法中逆序图着色的着色思想,结合蚁群算法的搜索机制,给出了逆序蚁群着色算法.根据着色进度和未着色点的相邻点度数随机动态逆序选择新的着色点,使得算法具有较强的搜索全局最优解的能力.利用计算机生产大量随机图作为测试实例,对比逆序着色算法和逆序蚁群算法,实验结果说明逆序蚁群着色算法提高了求解质量,加快了收敛速度,证明了其优良特性.同时算法效率的提高,也保证了该算法可适用于较大规模的着色问题求解.此外,还进行了一系列对比试验,得出了关键参数的合理取值范围.     

全平面上解析的零级Laplace-Stieltjes变换的正规增长

本文应用两个型函数,研究了在全平面上解析的零级Laplace-Stieltjes变换的正规增长性,得到这类变换具有正规增长的充分必要条件,推广了Dirichelt级数的相关结果.     

三参数Weibull分布的随机比较

给出了两个相互独立但不同分布的三参数Weibull分布随机变量满足各种随机序时其分布所含参数间的相应关系.也给出了两组相互独立但不同分布的随机变量次序统计量之间的随机序关系.     

Electric Multiple Unit Bogie Maintainability Allocation with Interval Analysis and Fuzzy Evaluation Method

Based on the failure rate and design features allocation method,considering the multiple influential factors which affect electric multiple unit（ EMU） bogies,maintainability allocation on EMU bogie was presented by interval analytic hierarchy analysis and fuzzy comprehensive assessment. The maintainability allocation model was established. Weight based on the influence degree of each factor on maintenance was assigned. Fuzzy interval numbers were used to substitute real numbers and express uncertain information.The maintenance weighting factors for each subsystem were calculated by fuzzy comprehensive assessment. Then the allocation method was applied to EMU bogie. The results show that the method is feasible. The problem difficult to quantify for EMU bogie maintenance allocation is solved effectively.     

Adaptive Order Polynomial Fitting for Pulmonary Nodule Segmentation in Chest Radiograph

Segmentation of pulmonary nodules in chest radiographs is a particularly challenging task due to heavy noise and superposition of fibs, vessels, and other complicated anatomical structures in lung field. In this paper, an adaptive order polynomial fitting based ray- casting algorithm is proposed for pulmonary nodule segmentation in chest radiographs. Instead of detecting nodule edge points directly, the nodule intensity proffies are first fitted by using the polynomials with adaptively determined orders. Then, the edge positions are identified through analyzing the local minimum of the fitted curves. The performance of the proposed algorithm was evaluated over an image database with 148 nodule cases in chest radiographs that were collected from a variety of digital radiograph modalities. The preliminary results show the proposed algorithm can obtain a high rate of successful segmentations.     

一类分数阶微分方程积分边值问题正解的存在性

In this paper,we concern ourselves with the existence of positive solutions for a type of integral boundary value problem of fractional differential equations with the fractional order linear derivative operator. By using the fixed point theorem in cone,the existence of positive solutions for the boundary value problem is obtained. Some examples are also presented to illustrate the application of our main results.