共查询到19条相似文献,搜索用时 62 毫秒
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本文建立了一种新方法——重合指数方法——来研究具多值增生映象方程解的存在性问题及微分包含解的存在性问题. 相似文献
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本文建立了一种新方法——重合指数方法——来研究具多值增生映象方程解的存在性问题及微分包含解的存在性问题。 相似文献
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Banach流形上映射度 总被引:1,自引:0,他引:1
本文讨论一种无限维流形上拓扑不变量,即具有可定向Fredholm结构的实Banach流形上 Cr 映射度.它是通常有限维流形上光滑映射度的一种自然推广. 相似文献
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本文研究了集值映象的重合问题,在适当的条件下,我们在文中定义了映象对的重合指数,作为文中结果的应用,我们在文末研究了一类微分包含(即多值边值问题)解的存在性问题。 相似文献
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借助于正规对偶映射,建立了一般Banach空间中线性流形上的(集值)度量投影存在的 充要条件,同时给出了度量投影的表达式和点到线性流形上的距离公式.这些本质地推广和改进了 王玉文和于金凤在空间自反、严格凸和光滑强假定下的相应结果. 相似文献
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袁家玮 《高校应用数学学报(A辑)》2000,15(2):187-191
得出了几个新一一般性的重合定理,它是许多已有论文中相应的单值和多值不动点定理的推广,同时也是著名的Fan-Kakutani定理的推广。 相似文献
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In this paper,closure of the linear span on complex exponential system in weighted Banach space Lαp is studied.Each function in the closure of complex exponential system can be extended to an entire function represented by Taylor-Dirichlet series. 相似文献
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本文在Banach空间中,证明了集值l—集压缩映象对的重合点定理与集值l—集压缩映象列的公共不动点定理. 相似文献
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Ukrainian Mathematical Journal - We propose a divergent version of the Stokes formula for a Banach manifold with uniform atlas. 相似文献
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Bert-Wolfgang Schulze Boris Sternin Victor Shatalov 《Annals of Global Analysis and Geometry》1998,16(2):141-172
The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah–Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point. 相似文献
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We prove that the classical integrability condition for almost complex structures on finite-dimensional smooth manifolds also works in infinite dimensions in the case of almost complex structures that are real analytic on real analytic Banach manifolds. With this result at hand, we extend some known results concerning existence of invariant complex structures on homogeneous spaces of Banach–Lie groups. By way of illustration, we construct the complex flag manifolds associated with unital C*-algebras.Mathematics Subject Classifications (2000): primary 32Q60; secondary 53C15, 58B12. 相似文献
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Yeong-Cheng Liou Valeri Obukhovskii Jen-Chih Yao 《Set-Valued and Variational Analysis》2012,20(3):369-386
In this paper, based on the fixed point index theory for a class of -multivalued maps on absolute neighbourhood retracts, we introduce the notion of index of solvability for a variational inequality on a Riemannian manifold involving a multivalued vector field. We describe the main properties of this topological characteristic and use it to justify the existence of a solution for a variational inequality problem. As application, the problem of optimization of a non-smooth functional on a Hadamard manifold is considered. 相似文献
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We define the index of solvability, a topological characteristic, whose difference from zero provides the existence of a solution
for variational inequalities of Stampacchia’s type with S
+-type and pseudo-monotone multimaps on reflexive separable Banach spaces. Some applications to a minimization problem and
to a problem of economical dynamics are presented.
The work is supported by the Russian FBR Grants 05-01-00100 and 07-01-00137 and by the NATO Grant ICS.NR.CLG 981757. 相似文献
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Wen Xiang SUN 《数学学报(英文版)》2007,23(7):1297-1302
We establish several asymptotic formulae for Brillouin index on fiat tori. As an application of these formulae it is proved that the topological entropy of a geodesic flow on a fiat torus is zero. 相似文献