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	1. New Periodic Solutions for Planar N+k–Body Problems
	Deng Chunhua,Zhang Shiqing
	Mathematics 17 February 2009
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	Abstract:For Newtonian N+k–body problems in R^2, we prove the existence of new noncollision periodic solutions such that N + k bodies move on two different closed curves and have some given winding numbers.
	TO cite this article:Deng Chunhua,Zhang Shiqing. New Periodic Solutions for Planar N+k–Body Problems[OL].[17 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29078


	2. Reflexivity and reducibility of operators related to invariant subspace problem
	Ji You Qing,Xu Xinjun
	Mathematics 07 January 2009
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	Abstract:The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every (bounded linear) operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace. every reducible subspace of $T$ is invariant subspace of $T$ too. We show that, for some Banach space operators $T$,( {\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\it bi-crystal} operator) the following statements are equivalent. (1) There exists a nontrivial invariant subspace of $T$. (2) $T$ is Banach reducible. (3) $T$ is reflexive. And we show that if $A\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\sim A \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\bigoplus A$, then $A$ is reflexive.
	TO cite this article:Ji You Qing,Xu Xinjun. Reflexivity and reducibility of operators related to invariant subspace problem[OL].[ 7 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27437


	3. Existence of solutions for a p(x)-Kirchhoff-type
	Ruifang Hao
	Mathematics 04 January 2009
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	Abstract:This paper is concerned with the existence and multiplicity solutions to a class of p(x)- Kirchhoff-type problem with Dirichlet boundary data. By means of a direct variational approach and the theory of the variable exponent Sobolev spaces, we establish conditions ensuring the existence and multiplicity of solutions for the problem.
	TO cite this article:Ruifang Hao. Existence of solutions for a p(x)-Kirchhoff-type[OL].[ 4 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27271


	4. A class of combinatorial identities associated with iterated function systems
	Han-Ju Li,Yuan-Ling Ye
	Mathematics 22 May 2008
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	Abstract:We prove that given an affine IFS on the real line and a probability vector then there exists a corresponding combinatorial identity associated with binomial coefficients and moment sequence with respect to the invariant measure $mu$ of the IFS. In particular, when $mu$ is the restriction of Lebesgue measure to a close interval, we obtain some well-known or unknown combinatorial identities.
	TO cite this article:Han-Ju Li,Yuan-Ling Ye. A class of combinatorial identities associated with iterated function systems[OL].[22 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21644


	5. Hausdorff Type Measure and Dimension Print
	Li Hanju ,Mei XuanMing
	Mathematics 21 May 2008
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	Abstract:We introduce a new Hausdorff type measure on plane and define a new dimension print associated with this measure. Our main theorems show that this measure is just the generalization of Lebesgue measure and the new dimension print contains more information than the usual one.
	TO cite this article:Li Hanju ,Mei XuanMing . Hausdorff Type Measure and Dimension Print[OL].[21 May 2008] http://en.paper.edu.cn/en_releasepaper/content/21609


	6. Hardy Type Inequality in Weighted Variable Exponent Spaces and Applications to p(x)-Laplace Type Equations
	Chen Lizhi
	Mathematics 27 November 2007
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	Abstract:In this paper, the Hardy-Type inequality with more general weights is established in weighted variable exponent Sobolev spaces. With the help of it, existence of nontrivial weak solutions of the p(x)-Laplace type equations is proved.
	TO cite this article:Chen Lizhi . Hardy Type Inequality in Weighted Variable Exponent Spaces and Applications to p(x)-Laplace Type Equations[OL].[27 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16580

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