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	1. A Note on Cauchy-Lipschitz-Picard Theorem for Initial Value Problems of ODE
	Zhang Shiqing
	Mathematics 05 June 2016
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	Abstract:In this note, we try to generalize the classical Cauchy-Lipschitz-Picard Theorem on the global existence and uniqueness for Cauchy initial value problem of the ordinary differential equation with global Lipschitz condition, we try to weaken the global Lipschitz condition, and we can also get the global existence and uniqueness.
	TO cite this article:Zhang Shiqing. A Note on Cauchy-Lipschitz-Picard Theorem for Initial Value Problems of ODE[OL].[ 5 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4697020


	2. Bifurcation analysis for a singulardifferential system with two parametersvia to topological degree theory
	Lishan Liu, Fenglong Sun, Xinguang Zhang, Yonghong Wu
	Mathematics 11 May 2016
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	Abstract:Based on the relation between Leray-Schauder degree and a pair of strictlower and upper solutions, we focus on the bifurcation analysis for a singulardifferential system with two parameters, explicit bifurcation points for relativeparameters are obtained by using the property of solution for the akinsystems and topological degree theory.
	TO cite this article:Lishan Liu, Fenglong Sun, Xinguang Zhang, et al. Bifurcation analysis for a singulardifferential system with two parametersvia to topological degree theory[OL].[11 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4689055

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	3. Existence of positive solutions for singular higher-order fractional differential equations with infinite-points boundary conditions
	LIMIN GUO, LISHAN LIU, YONGHONG WU
	Mathematics 10 May 2016
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	Abstract: In this paper, a class of singular fractional differential equations with infinite-points boundary conditions is considered. The fractional orders are involved in the nonlinearity of theboundary value problem and the nonlinearity is allowed to be singular with respect to not only the time variable but also the space variable. Firstly, we give Green's function and establish its properties. Then, we utilize the sequential technique and regularization to investigate the existence of positive solutions.
	TO cite this article:LIMIN GUO, LISHAN LIU, YONGHONG WU. Existence of positive solutions for singular higher-order fractional differential equations with infinite-points boundary conditions[OL].[10 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688813


	4. On a mild solution of impulsive integro-differentialevolution equations in Banach spaces
	HAO Xinan, LIU Lishan, WU Yonghong
	Mathematics 05 May 2016
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	Abstract:The existence, uniqueness and continuous dependence of a mildsolution for the nonlinear impulsive integro-differential evolutionequations in Banach spaces are studied. Methods of a $C_0$ semigroupof operators and the Banach contraction theorem are applied. Inaddition, an explicit iterative approximation of the mild solutionand an error estimate of the approximation sequence are derived. Theassumed conditions in the present theorems are weaker and moregeneral, and the results obtained generalize and improve someknown results.
	TO cite this article:HAO Xinan, LIU Lishan, WU Yonghong. On a mild solution of impulsive integro-differentialevolution equations in Banach spaces[OL].[ 5 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4686771


	5. Mild solutions of impulsive semilinear neutral evolution equations in Banach spaces
	HAO Xinan
	Mathematics 15 April 2016
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	Abstract:This paper is concerned with the existence of mild solutions for impulsive semilinear neutral functional integro-differential equations in Banach spaces. The existence result is obtained by using fractional power of operators, Monch fixed point theorem, the piecewise estimation method and semigroup theory.?????
	TO cite this article:HAO Xinan. Mild solutions of impulsive semilinear neutral evolution equations in Banach spaces[OL].[15 April 2016] http://en.paper.edu.cn/en_releasepaper/content/4684355


	6. A note on the generalized Kato spectrum of an operator
	JIANG Qiao-Fen
	Mathematics 25 November 2015
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	Abstract:Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $mathcal{S}(T)$ the set of all complex $lambdain mathbb{C}$ such that $T$ does not have the single-valued extension property at $lambda$. In this note, we prove equality up to $mathcal{S}(T)$ between the appoximate point spectrum and the generalized Kato spectrum, equality up to $mathcal{S}(T^*)$ between the surjectivity spectrum and the generalized Kato spectrum.We give some applications of these results on the commuted quasi-nilpotent perturbation of operators with generalized Kato decomposition and the generalized Kato spectrum of the operator matrices, we also discuss the generalized Kato spectrum of the multipliers on the direct sum of Banach algebras.
	TO cite this article:JIANG Qiao-Fen. A note on the generalized Kato spectrum of an operator[OL].[25 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4665731


	7. Topological uniform decent spectrum and Drazin spectrum through localized SVEP
	JIANG Qiao-Fen
	Mathematics 18 November 2015
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	Abstract:Let $X$ be a Banach space and $T$ be a bounded linear operator on $X$. We denote by $mathcal{S}(T)$ the set of all complex $lambdain mathbb{C}$ such that $T$ does not have the single-valued extension property at $lambda$. In this note, we prove equality up to $mathcal{S}(T)$ between the left Drazin spectrum and the topological uniform descent spectrum, the left Drazin spectrum and the quasi-Fredholm spectrum, equality up to $mathcal{S}(T^*)$ between the descent spectrum and the topological uniform descent spectrum, the right Drazin spectrum and the quasi-Fredholm spectrum.We also give some applications of these results on the nilpotent perturbation of operators with topological uniform descent and the topological uniform spectrum of the operator matrices.
	TO cite this article:JIANG Qiao-Fen. Topological uniform decent spectrum and Drazin spectrum through localized SVEP[OL].[18 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4661835


	8. A hybrid algorithm for finite equilibrium problems and finite variational inequality problems and fixed point problems for twofamilies of quasi-$phi$-asymptotically nonexpansive mappings inBanach spaces
	Shaotao Hu ,ang Cai
	Mathematics 07 January 2015
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	Abstract:The purpose of this article is to introduce a new hybrid projectionalgorithm for finding a common element of the set of two families ofquasi-$phi$-asymptotically nonexpansive mappings and the set ofsolutions of finite equilibrium problems and the set of solutions offinite variational inequalities for inverse strong monotoneoperators in the framework of uniformly smooth and $2$-uniformlyconvex Banach spaces. The results obtained in this paper improve andextend the corresponding results announced by many others.
	TO cite this article:Shaotao Hu ,ang Cai. A hybrid algorithm for finite equilibrium problems and finite variational inequality problems and fixed point problems for twofamilies of quasi-$phi$-asymptotically nonexpansive mappings inBanach spaces[OL].[ 7 January 2015] http://en.paper.edu.cn/en_releasepaper/content/4627152


	9. Fock-sobolev Spaces and Weighted Composition Operators Between Them
	HE Li, CAO Guang-fu
	Mathematics 07 May 2014
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	Abstract:Boundedness and compactness of the weighted composition operators between some Fock-sobolev spaces are characterized. The norm and essential norm of these operators are also calculated. Furthermore, the duality spaces of Fock-sobolev spaces $mathcal{F}^{p,m}_{s}$ are given when $0<p<infty$.
	TO cite this article:HE Li, CAO Guang-fu. Fock-sobolev Spaces and Weighted Composition Operators Between Them[OL].[ 7 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4596330


	10. The Dual Space of Pluriharmonic Function Space
	HE Li, CAO Guang-fu
	Mathematics 07 May 2014
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	Abstract:The pluriharmonic function space and the composition operators on it are considered in this paper, mainly about characterizing the dual space of pluriharmonic function space, describing the boundedness, compactness and Fredholmness of composition operators.
	TO cite this article:HE Li, CAO Guang-fu. The Dual Space of Pluriharmonic Function Space[OL].[ 7 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4596327

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