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This brief note announces a comprehensive result that includes as particular cases not only the extended Mbius-Rota inversion formulas (cf.[1]) but also some classic inverse relations in analysis (e. g. the fundamental theorem for integral calculus and a kind of Fredholm convolution integral transforms with variable upper limits). 相似文献
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A.R.ELAMROUSS 《数学学报(英文版)》2005,21(1):129-142
This paper contains a generalization of the well-known Palais-Smale and Cerami compactness conditions. The compactness condition introduced is used to prove some general existence theorems for critical points. Some applications are given to differential equations. 相似文献
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We prove pointwise in time decay estimates via an abstract conjugate operator method. This is then applied to a large class of dispersive equations. 相似文献
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We show that each Ptolemaic semimetric is Möbius-equivalent to a bounded metric. Introducing generalized angles in Ptolemaic Möbius structures, we study the class of multivalued mappings F: X → 2Y with a lower bound on the distortion of generalized angles. We prove that the inverse mapping to the coordinate function of a quasimeromorphic automorphism of ?? n lies in this class. 相似文献
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In this paper,applying the concept of generalized KKM map,we study problems ofvariational inequalities.We weaken convexity(concavity)conditions for a functional of two variables■(x,y)in the general variational inequalities.Last,we show a proof of non-topological degree meth-od of acute angle principle about monotone operator as an application of these results. 相似文献
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We prove a theorem on the existence of solutions of some nonlinear functional integral equations in the Banach algebra of continuous functions on the interval [0,a]. Then we consider a nonlinear integral equation of fractional order and give some sufficient conditions for existence of solutions of this equation. We use fixed point theorems associated with the measure of noncompactness as the main tool. Our existence results include several results obtained in previous studies. Finally we present some examples which show that our results are applicable. 相似文献
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CommutatorsofMobiusTransformationsinRnYuZuguo(喻祖国)(InstituteofTheoreticalPhysics,AcademiaSinica,P.O.Box2735,Beijing,100080)Wa... 相似文献
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褚玉明 《数学物理学报(A辑)》2006,(4)
设D是~2中至少包含三个边界点的单连通区域,对任意x,y∈D,α_D(x,y)表示D中关于x,y两点的Apollonian度量.1998年A.F.Beardon猜测:若f:D→D是Apollonian等距映射,则f必是D上的Mbius变换.在该文中作者对D是圆的情况肯定并证明了A.F.Beardon的上述猜想. 相似文献
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In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem
for a variational inclusion problem, a KKM theorem and an extension of the well know Ky Fan inequality will be established,
as particular cases. Some applications concerning a saddle point problem with constraints, existence of a common fixed point
for two mappings and an optimization problem with constraints, will be given in the last section of the paper. 相似文献
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《数学年刊A辑(中文版)》2015,(1)
首先,在实Clifford代数空间Cl_n+1,0(R)中给出了与Clifford Mbius变换相关的一些定理.其次,证明了hypergenic函数与Clifford Mobius变换的复合可以得到一个加权的hypergenic函数. 相似文献
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本文利用高维Mbius变换的Clifford矩阵表示,主要讨论高维非初等Mbius群和不连续Mbius群,得到了它们各自的几何特征. 相似文献
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超立方体网络是目前在超级计算机处理器结构中应用得最广泛的拓扑结构,Mbius立方体是超立方体的一种变形,已经被证明它在某些方面具有优于超立方体的拓扑性质.本文指出了n维Mbius立方体递归结构的一些重要拓扑性质. 相似文献
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本文利用高维Mbius变换的Clifford矩阵表示,主要讨论高维非初等Mbius群和不连续Mbius群,得到了它们各自的几何特征. 相似文献
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YANG Yan & LIU YanPei 《中国科学 数学(英文版)》2010,(5)
There are many results on the flexibility of(general) embeddings of graphs,but few are known about that of strong embeddings.In this paper,we study the flexibility of strong embeddings of circular and Mbius ladders on the projective plane and the Klein bottle by using the joint tree model of embeddings.The numbers of(nonequivalent) general embeddings and strong embeddings of circular and Mbius ladders on these two nonorientable surfaces are obtained,respectively.And the structures of those strong embeddings are described. 相似文献
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The Blaschke tensor and the Mbius form are two of the fundamental invariants in the Mobius geometry of submanifolds;an umbilic-free immersed submanifold in real space forms is called Blaschke parallel if its Blaschke tensor is parallel.We prove a theorem which,together with the known classification result for Mobius isotropic submanifolds,successfully establishes a complete classification of the Blaschke parallel submanifolds in S~n with vanishing Mobius form.Before doing so,a broad class of new examples of general codimensions is explicitly constructed. 相似文献
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Exact Solutions of Fisher and Generalized Fisher Equations with Variable Coefficients 总被引:1,自引:0,他引:1
Arzu Ogun Cevat Kart 《应用数学学报(英文版)》2007,23(4):563-568
In this work,we consider a Fisher and generalized Fisher equations with variable coefficients.Usingtruncated Painlevé expansions of these equations,we obtain exact solutions of these equations with a constrainton the coefficients a(t)and b(t). 相似文献