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MULTIPLE PERIODIC SOLUTIONS TO SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH INFINITE DELAY

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Annals of Differential Equations 2012年第1期28卷 32-37页

作者： Lili Gao (Dept.of math.and Physics,Bengbu College,Bengbu 233000,Anhui) Lianglong Wang (School of math.and Computing Science,Anhui university,Hefei 230039)

This paper is concerned with the existence of positive periodic solutions to a second order functional differential equation with infinite *** the appropriate conditions,some existence and multiplicity of positive per... 详细信息

关键词： functional differential equations positive periodic solutions fixed point theorem

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度量空间的CS-π映象

数学研究 2003年第3期36卷 301-304页

作者：燕鹏飞南京师范大学数学系南京 210093 安徽大学数学系合肥 230039

讨论了具有紧可数点星网的空间与度量空间的CS-π映象之间的关系。

关键词： π映射紧可数点星网 CS映射

Global smooth solution of multi-dimensional non-homogeneous conservation laws

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Progress in Natural Science:Materials International 2004年第10期14卷 15-22页

作者： YANG Xiaozhou 1 and ZHANG Tong 2 (1.department of math.matics,Shantou university,Shantou515063,China 2.Institute of math.matics,Chinese Academy of Sci-ences,Beijing100080,China) Dept. of math. Shantou Univ. Shantou 515063 China Inst. of math. Chinese Acad. of Sci. Beijing 100080 China

The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is ***,three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also *** global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation,not by a system as usual methods do.

关键词： conservation laws global smooth solution global implicit function diffeomorphism

Planar cubic hybrid hyperbolic polynomial curve and its shape classification

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Progress in Natural Science:Materials International 2004年第1期14卷 42-47页

作者： WANG Guozhao 1,2 * and YANG Qinmin 1,2 (1. Institute of Computer Graphics and Image Processing, 2. department of math.matics, Zhejiang university, Hangzhou 310027, China) Zhejiang Univ Inst Comp Graph & Image Proc Hangzhou 310027 Peoples R China Zhejiang Univ Dept Math Hangzhou 310027 Peoples R China

The planar cubic hybrid hyperbolic polynomial curves and cubic H Bézier curves are presented. The conditions leading to inflection points and singularities (cusps and loops) are investigated and the shape of these curves is classified. The conclusions enable us to detect inflection points and singularities and get an idea of how to preserve the fair shape when designing such curves.

关键词： hybrid hyperbolic polynomial curve H-Bézier curve shape classification inflection points singularities

STURM COMPARISON THEOREM OF SOLUTION FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2003年第3期19卷 480-486页

作者：庄容坤 Dept. of math. Huizhou University Huizhou 516015

In this paper, we establish some differential identities and obtain some Sturm comparison theorems for the second order nonlinear differential equation by using *** generalize some classicial Sturm comparison theorems.

关键词： nonlinear differential equation differential identity Sturm comparison theorem consecutive zeros

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概率赋范空间中的线性算子

工程数学学报 1987年第2期 43-49页

作者：林熙西安交通大学数学系

本文提出了概率赋范空间(两称PN空间)中有界线性算子与全连续线性算子的新的定义;证明了PN空间中线性算子连续的充要条件是映概率有界集为概率有界集这个重要结论;此外,还在较弱的条件下,证明了连续线性算子空间和全连续线性算子空间都... 详细信息

本文提出了概率赋范空间(两称PN空间)中有界线性算子与全连续线性算子的新的定义;证明了PN空间中线性算子连续的充要条件是映概率有界集为概率有界集这个重要结论;此外,还在较弱的条件下,证明了连续线性算子空间和全连续线性算子空间都是完备的PN空间。

关键词：线性算子 PN 连续线性概率有界集充要条件

EXISTENCE OF PERIODIC SOLUTIONS TO A p-LAPLACIAN NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER

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Annals of Differential Equations 2010年第2期26卷 165-173页

作者： Feng Liang, Shiping Lu Dept. of math., Anhui Normal university, Wuhu 241000, Anhui

By the generalized Borsuk theorem in coincidence degree theory, a p-Laplacian neutral functional differential equation is studied. A new result on the existence of periodic solution is obtained. The interest is that some coeffcient in it is not a constant function and its sign can be changeable, which is different from that in the known literatures.

关键词： periodic solution neutral functional differential equation p-Laplacian variable sign deviating argument generalized Borsuk theorem

BIFURCATIONS OF THE TRAVELLING WAVE SOLUTIONS TO A GENERALIZED CAMASSA-HOLM EQUATION

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Annals of Differential Equations 2008年第3期24卷 317-325页

作者： Rui Weiguo, Long Yao, He Bin (Dept. of math., Honghe university, Mengzi 661100, Yunnan)

In this paper, we study some generalized Camassa-Holm equation. Through the analysis of the phase-portraits, the existence of solitary wave, cusp wave, periodic wave, periodic cusp wave and compactons were discussed. In some certain parametric conditions, many exact solutions to the above travelling waves were given. Further-more, the 3D and 2D pictures of the above travelling wave solutions are drawn using Maple software.

关键词： travelling wave solution Camassa-Holm equation elastic rod model

Reduced order H∞ filtering for discrete-time Markovian jump linear systems with partly known transition probabilities

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Reduced order H∞ filtering for discrete-time Markovian jump...