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	1. On the Lagrangian boundary problem of Hamiltonian systems and Seifert conjecture
	Liu Chungen
	Mathematics 07 March 2014
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	Abstract:In this survey paper, we give a brief introduction to the Lagrangian boundary problem of Hamiltonian systems,the famous Seifert conjecture and some recent progress.
	TO cite this article:Liu Chungen. On the Lagrangian boundary problem of Hamiltonian systems and Seifert conjecture[OL].[ 7 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4589205


	2. Set-valued stochastic integrals with respect to the monotone increasing process
	Jiajia QI, Jinping ZHANG
	Mathematics 20 October 2013
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	Abstract:In a Euclidean space $R^d$, the Lebesgue-Stieltjes integral of set-valued stochastic processes $F={F_t(omega),tin[0,T]}$ with respect to single valued monotone increasing process ${A_t(omega),tin[0,T]}$ is defined directly by employing all integrably bounded selections instead of taking the decomposable closure appearing in some existed references. For every time $t$, this kind of integral $I_t(F)(omega)$ is a set-valued random variable taking values in the power set $mathcal{K}(R^d)$. Furthermore, the process of integrals ${I_t(F)(omega),tin [0,T]}$ is jointly measurable in the product space $[0,T] imesOmega$ and integrably bounded in $L^1$. It is also continuous in time $t$ with respect to the Hausdorff metric.
	TO cite this article:Jiajia QI, Jinping ZHANG. Set-valued stochastic integrals with respect to the monotone increasing process[OL].[20 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4565053

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	3. The existence and incomparability of positive solutions to a class of fourth order super-linear m-point singular boundary value problems
	Du Xinsheng
	Mathematics 02 September 2013
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	Abstract:This paper investigates the existence of positive solutions to a class of fourth order singular super-linear m-point boundary value problems. A necessary and sufficient condition for the existence of positive solutions is given by means of the fixed point theorems of cone expansion and compression with norm type. We also investigate the incomparability of positive solutions.
	TO cite this article:Du Xinsheng. The existence and incomparability of positive solutions to a class of fourth order super-linear m-point singular boundary value problems[OL].[ 2 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4558046


	4. New fixed point theorems of e-concave-convex mixed monotone operators
	Du Xinsheng
	Mathematics 14 August 2013
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	Abstract:Mixed monotone operator is an important nonlinear operator. It exists extensively in the research of nonlinear differential and integral equations. Generally, the research of mixed monotone operators in partially ordered Banach spaces requires compactness , continuity or concavity-convexity of the opeators. In this paper, without any compact and continuous assumption, we obtain some new existence and uniqueness theorems of positive fixed point of e-concave-convex mixed monotone operators in Banach spaces partially ordered by a cone, wich extends the existing corresponding results.
	TO cite this article:Du Xinsheng. New fixed point theorems of e-concave-convex mixed monotone operators[OL].[14 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4555473


	5. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces
	Yuan Wen,WINFRIED SICKEL,Yang Dachun
	Mathematics 18 May 2013
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	Abstract:In this paper,we compare the recent approach of Hans Triebelto introduce smoothness spacesrelated to Morrey-Campanato spaceswith Besov type and Triebel-Lizorkin type spaces.These two scales have been introduced some years ago and representa further variant to measure smoothness by using Morrey spaces.
	TO cite this article:Yuan Wen,WINFRIED SICKEL,Yang Dachun. On the Coincidence ofCertain Approaches to Smoothness Spaces Related to Morrey Spaces[OL].[18 May 2013] http://en.paper.edu.cn/en_releasepaper/content/4544083


	6. On an open question concerning joint approximate point spectrum
	ZENG Qingping,ZHONG Huaijie
	Mathematics 24 April 2013
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	Abstract:In this note we give an answer to an open question posed recently by Mecheri and Braha [Oper. Matrices 6 (2012), 725--734]. More precisely, we show that if T is n-perinormal, then the nonzero points of its approximate point spectrum and joint approximate point spectrum are identical; but this is not the case at 0.
	TO cite this article:ZENG Qingping,ZHONG Huaijie. On an open question concerning joint approximate point spectrum[OL].[24 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4539383


	7. Maximal regularity for second order degenerate differential equations in vector-valued functional spaces
	Shangquan Bu,Gang Cai
	Mathematics 09 April 2013
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	Abstract: The purpose of this paper is to study the existence and uniqueness of periodic solutions to the second order degenerate differential equation [(P_2): (Mu)''(t)=Au(t)+f(t), (0leq tleq 2pi)]with periodic boundary conditions $ Mu(0)=Mu(2pi),(Mu)'(0)=(Mu)'(2pi)$, in periodic Lebesgue-Bochner spaces $L^p(mathbb{T},X)$ , periodic Besov spaces $B_{p,q}^s(mathbb{T},X)$ and periodic Triebel-Lizorkin spaces $F_{p,q}^s(mathbb{T},X)$, where $A$ and $M$ are two closed linear operators in a Banach space satisfying $D(A)subset D(M)$. We use operator-valued Fourier multiplier techniques to obtain necessary and sufficient conditions to guarantee the existence and uniqueness of $(P_2)$.
	TO cite this article:Shangquan Bu,Gang Cai. Maximal regularity for second order degenerate differential equations in vector-valued functional spaces[OL].[ 9 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4536926


	8. Strong convergence theorems for fixed point problems of two countable families of mappings in real Banach spaces
	Shangquan Bu,Gang Cai
	Mathematics 09 April 2013
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	Abstract: In this paper, we introduce a new implicit iterative process for two countable families of mappings in the framework of a real Banach space and prove some strong convergence theorems under suitable conditions.The results obtained in this paper extend and improve thecorresponding results announced by many others.
	TO cite this article:Shangquan Bu,Gang Cai. Strong convergence theorems for fixed point problems of two countable families of mappings in real Banach spaces[OL].[ 9 April 2013] http://en.paper.edu.cn/en_releasepaper/content/4536923


	9. Positive solution for a class of nonlinear fourth-order singular semipositone problem
	Zhaocai Hao, Shanbao Hu
	Mathematics 08 December 2012
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	Abstract:Reviews: We study the existence of positive solutions of a Sturm-Liouville boundary valueproblem for fourth-order nonlinear singular semipositone differential equations. By the fixed point theorem,the existence of the positive solutions is established. An example is given to demonstrate the application of our main results.This work extends and complements some results in the literature on this topic.
	TO cite this article:Zhaocai Hao, Shanbao Hu. Positive solution for a class of nonlinear fourth-order singular semipositone problem[OL].[ 8 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4498574


	10. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts
	Ge Bin,Zhou Qingmei
	Mathematics 29 June 2012
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	Abstract:Let {an}∞n=0 be a weight sequence and let W denotethe associated unilateral weighted shift on H. In this paper, weconsider the connection between the M-hyponormal andhyponormalizable weighted shifts operators. Main results areTheorems 4.1 and Theorems 4.2. Theorem 4.1 is the sufficientcondition when a weighted shifts M-hyponormal operator becomehyponormalizable. Theorem 4.2 is the sufficient condition when aweighted shifts hyponormalizable operator become M-hyponormal.Finally, invariant subspaces of such operators are discussed.
	TO cite this article:Ge Bin,Zhou Qingmei. Some Notes on M-hyponormal weighted shifts and hyponormalizable weighted shifts[J].

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