共查询到20条相似文献,搜索用时 31 毫秒
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《数学年刊A辑(中文版)》2011,(1)
Some Abstract Critical Point Theorems for Self-adjoint Operator Equations and Applications Chungen LIU Qi WANG By using the index theory for linear bounded self-adjoint operators in a Hilbert space related to a fixed self-adjoint operator A with compact resolvent,the authors discuss the existence and multiplicity of solutions for(nonlinear) operator equations,and give some applications to some boundary value problems of first order Hamiltonian systems and second order Hamiltonian systems. 相似文献
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《极限与导数》这一部分内容是进一步学习微积分的基础,目前高中阶段的教材只向学生介绍一些最基础、最浅显的知识,因此,在知识的系统性和理论性方面就很难做到严谨、周密(尤其是使用人教版《数学》第三册(选修1)),但教师还是必须以学生能理解、接受的方式向学生讲清楚以下几个关系. 相似文献
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《数学年刊A辑(中文版)》2011,(2)
Dynamics about Neural Array with Simple Lateral Inhibitory Connections Jian ZHUANG Lateral inhibitory effect is a well-known feature of information processing in neural systems. This paper presents a neural array model with simple lateral inhibitory 相似文献
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《数学年刊A辑(中文版)》2010,(2)
<正>Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions Xiaoyi HU Wenbin CHEN The authors consider one specific kind of heat transfer problems in a three-dimensional layered domain,with nonlinear Stefan-Boltzmann conditions on the boundaries as well as on the interfaces. 相似文献
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《数学年刊A辑(中文版)》2011,(5)
Global Solutions of Shock Reflection by Wedges for the Nonlinear Wave Equation Xuemei DENG Wei XIANG When a plane shock hits a wedge head on,it experiences a reflection-diffraction process and then a self-similar reflected shock moves outward as the original shock moves forward in time.In 相似文献
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“点到直线的距离”是高中课本《平面解析几何》第一章“直线”的最后一节,其主要内容是:点到直线的距离公式的推导及应用.在此之前,学生已经学习了两点间的距离公式、定比分点公式、直线方程、两直线的位置关系,同时也学习了用代数方程研究曲线性质的“以数论形,数形结合”的数学思想方法.在这个基础上,教材在第一章的最后安排了这一节.点到直线的距离公式是解决理论和实际问题的重要工具,它使学生对点与直线的位置关系的认识从定性的认识上升到定量的认识. 相似文献
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《数学年刊A辑(中文版)》2012,(4):517-520
H~2-Stabilization of the Isothermal Euler Equations:a Lyapunov Function Approach Martin GUGAT Giinter LEUGERING Simona TAMASOIU Ke WANG The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H~2-norm.To this end,an explicit Lyapunov function as a weighted and squared H~2-norm of a small 相似文献
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《数学年刊A辑(中文版)》2012,(2):261-264
Maximal Dimension of Invariant Subspaces to Systems of Nonlinear Evolution Equations Shoufeng SHEN Changzheng QU Yongyang JIN Lina JI In this paper,the dimension of invariant subspaces admitted by nonlinear systems is estimated under certain conditions.It is shown that if the two-component nonlinear vector differential operator 相似文献
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《数学年刊A辑(中文版)》2011,(4)
On the Cauchy Problem Describing an Electron-Phonon Interaction Joao-Paulo DIAS Mario FIGUEIRA Filipe OLIVEIRA In this paper,a model is derived to describe a quartic anharmonic interatomic interaction with an external potential involving a pair electron-phonon.The authors study the corresponding Cauchy Problem in the semilinear and quasilinear cases. 相似文献
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《数学年刊A辑(中文版)》2012,(3):389-392
Nash and Stackelberg Difierential Games Alain BENSOUSSAN Jens FREHSE Jens VOGELGESANG A large class of stochastic differential games for several players is considered in this paper.The class includes Nash differential games as well as Stackelberg differential games.A mix is possmle. 相似文献
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利玛窦和徐光启翻译《几何原本》的过程 总被引:6,自引:0,他引:6
我国的《九章算术》和古希腊的《几何原本》是古代东西方两种数学体系的代表,它们截然不同。明朝末年《几何原本》被翻译到中国来,极大地影响了中国原有的数学学习和研究的习惯,是中国数学史上的一件大事,值得一书。现在不少的数学教师和学生不了解此段历史,对于利玛窦和 相似文献