具扰动项的时滞Logistic方程的周期解

本文首先讨论一类时滞微分方程的周期解的存在性，然后将本文结果应用到具扰动项的 时滞Ｌｏｇｉｓｔｉｃ方程得出其正周期解的存在性，本文结果推广和改进了「１」和「６」的相应结果。     

几类鞅空间的一种合适的φ—推广及随指标变化性质

本文引入几类鞅空间与通常含义不同的φ－推广，通过对它们相互关系和随指标变化性质的研究表明：本文引入的φ－推广是自然的，合适的且更为一般，本文的结果包含了［３］中的相应结果，顺便也得到关于ａＦ［３］的一个新认识。     

求解互补问题的Gauss-Newton方法的全局收敛性

求解互补问题的Gauss-Newton方法是由Subramamian提出的．本文研究了此方法的收敛性质，在较弱的情况下，建立了一个全局收敛结果，此结果是相关文献中的结果的推广．     

试卷质量的灰色综合评判

李文革．试卷质量的灰色综合评判．数理统计与管理，１９９７，１６（４），４２～４５．本文运用灰色综合评判评价了文［１］中的七套试卷，得到了与文［１］不同的结果，但本文的结果更符合客观实际。     

关于共轭下降法的全局收敛性结果

本文讨论了共轭下降法的全局收敛性，对于共轭下降法，建立了两个新的全局收敛性结果，这些结果是文（１）结果的推广。     

共超球质点系的一个结果及其应用

本文获得关于共超球质点系的一个重要结果，并给出它的几个重要应用。本文的结果蕴含了最近［１］中所有结果。     

关于有界性的勒茹米辛型定理

本文对于泛函微分方程建立了关于有界性的新的勒茹米辛型定理，其中不仅可避免采用不易寻找的函数Ｐ，而且还可以采用若干个含有状态变量ｘ的部分变元的李雅普诺夫函数，这样，本文中所得的结果大大改进了已知结果。一方面，它更易于应用；另一方面，保证有界性的条件较少限制，并且，还给出了一些例子来说明所得结果的优越性。     

任意阶光滑逼近的数值方法

本文借助于逼近论的基本原理，最优控制理论、变办法，采用非线性规划的方法，为任意阶光滑曲线拟合建立统一的数学模型，构造出易在计算机上实现的数值方法和程序．本文结果有效地改进、完善和扩充了［３～５］中的主要结果；经实例检验，证实本文建立的模型、构造的算法、编制的程序有效且可行．     

具无限时滞的非自治捕食者-食饵系统的持久性

本文采用新的方法研究了具无限时滞的非自治、非卷积的捕食者－食饵系统的持久性问题，得到了新的、有趣的结果。本文的结果包含已知的结果作为特例．     

A_(2n)~(1)的某些水平为2的标准模的结构

在本文中我们推广了Ｍｉｓｒａ￣［１］的结果，利用Ｌｅｐｏｗｓｋｙ和Ｗｉｌｓｏｎ引进的Ｚ－代数来研究标准模的结构，对仿射李代数Ａ我们能够确定某些水平为２的标准模的真空空间的一组基，本文的结果同Ｍｉｓｒａ￣［５］的结果完全不同。     

Openness properties for parametric set-valued mappings and implicit multifunctions

The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces. Then, implicit multifunction results are obtained by simply specializing the openness results. Moreover, we study a kind of metric regularity of the implicit multifunction. The results of the paper generalize several recent results in literature.     

Coupled common fixed point theorems for w-compatible mappings in ordered cone metric spaces

We establish coupled coincidence point results for mixed g-monotone mappings under general contractive conditions in partially ordered cone metric spaces over solid cones. We also present results on existence and uniqueness of coupled common fixed points. Our results generalize, extend and unify several well known comparable results in the literature. To illustrate our results and to distinguish them from the earlier ones, we equip the paper with examples.     

Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data

We extend the results of [1–5] on the uniqueness of solutions of parabolic equations. Our results give also some regularity results which complete the existence results made in [6–8].     

Common fixed points in cone metric spaces

In this paper we consider a notion of g-weak contractive mappings in the setting of cone metric spaces and we give results of common fixed points. This results generalize some common fixed points results in metric spaces and some of the results of Huang and Zhang in cone metric spaces. Supported by Universitá degli Studi di Palermo, R. S. ex 60%.     

锥度量空间中c-距离下的不动点定理

在锥度量空间中,用压缩性函数代替具体实数,获得了c-距离下的映射的新的不动点定理.所得结果在条件上不要求映射的非减性,且第一个定理去掉了锥的正规性,第二个定理去掉了映射的连续性,改进了原有的许多重要结论,并给出了相应的例子.     

偏序集的零调性与可缩性

本文将给出偏序集零调与可缩的几个充分条件，它们包含和深化了文［１］和［２］中的一些结果，把［２］中的一些结果推广到无限偏序集的情形．     

Stability results for Jungck-type iterative processes in convex metric spaces

In this paper, we obtain some stability results in complete convex metric spaces for nonselfmappings satisfying certain general contractivity condition. We prove our results for Jungck-Mann and Jungck-Ishikawa iterations. Our results extend several stability results in the literature.     

OSCILLATION FOR NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS

ＯＳＣＩＬＬＡＴＩＯＮＦＯＲＮＯＮＬＩＮＥＡＲＮＥＵＴＲＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ（申建华）（王志成）湖南大学，邮编：４１００８２ＳｈｅｎＪｉａｎｈｕａ；ＷａｎｇＺｈｉｃｈｅｎｇ（ＨｕｎａｎＵｎｉｖｅｒｓｉｔｙ，）Ａｂｓｔｒａｃｔ...     

The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics

In this paper we first point out a simple observation that can be used successfully in order to translate results about the hazard rate order into results about the reversed hazard rate order. Using it, we derive some interesting new results which compare order statistics in the hazard and in the reversed hazard rate orders; as well as in the usual stochastic order. We also simplify proofs of some known results involving the reversed hazard rate order. Finally, a few further applications of the observation are given.     

Stability of the generalized quadratic and quartic type functional equation in non-Archimedean fuzzy normed spaces

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of non-Archimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-Archimedean absolute value of $2$ is less than $1$ cannot be omitted in our corollaries. The results improve and extend some recent results.