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	1. Invariant Manifolds for Nonautonomous Impulsive Differential Equationsand Nonuniform $(h,k,mu,u)$-dichotomy
	ZHANG Ji-Min,YANG Liu,FAN Meng,CHEN Ming
	Mathematics 06 May 2017
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	Abstract:In this paper, we explore invariant manifolds ofnonautonomous impulsive differential equations in Banach spaces.Here we assume that the linear nonautonomous impulsive equation$x'=A(t)x,t eq au_i,Delta x\|_{t= au_i}=B_ix( au_i), ~ i inZ$ admits a more general dichotomy on $R$ called the nonuniform$(h,k,mu, u)$-dichotomy, which extends the existing uniform ornonuniform dichotomies and is related to the theory of nonuniformhyperbolicity. We construct Lipschitz stable and unstableinvariant manifolds for nonlinear nonautonomous impulsivedifferential equations $x'=A(t)x+f(t,x), t eq au_i, Deltax\|_{t= au_i}=B_ix( au_i)+g_i(x( au_i)),i in Z$ with the helpof nonuniform $(h,k,mu, u)$-dichotomies.
	TO cite this article:ZHANG Ji-Min,YANG Liu,FAN Meng, et al. Invariant Manifolds for Nonautonomous Impulsive Differential Equationsand Nonuniform $(h,k,mu,u)$-dichotomy[OL].[ 6 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4731540


	2. Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries equation
	Chu Ji-Xun,Jean-Michel Coron,Shang Pei-Pei,Tang Shu-Xia
	Mathematics 27 April 2017
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	Abstract:In this paper, the Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries (KdV) equation is considered. By estimating the resolvent of the corresponding linear operator, it can be concluded that thesemigroup generated by the linear operator is not analytic but of Gevrey class $deltain(3/2,infty)$ for $t>0$.
	TO cite this article:Chu Ji-Xun,Jean-Michel Coron,Shang Pei-Pei, et al. Gevrey class regularity of a semigroup associated with a nonlinear Korteweg-de Vries equation[OL].[27 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4728194

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	3. The exponential stability ofEuler-Bernoulli equations with delay
	LI Ai-Qi,JIANG Wei-Sheng
	Mathematics 17 April 2017
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	Abstract:In this paper,exponential stability analysis of Euler-Bernoulli beam with input delay in the boundary control is considered. Well-posedness of the system is obtained by semigroup theory and the solution of the differential equations. The exponential stability results under some conditions is proved by introducing a energy function and an abstract Lyapunov functional.
	TO cite this article:LI Ai-Qi,JIANG Wei-Sheng. The exponential stability ofEuler-Bernoulli equations with delay[OL].[17 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725134


	4. Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays
	JIA Shichao,HU Cheng,YU Juan,JIANG Haijun
	Mathematics 28 March 2017
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	Abstract:enewcommand{ aggedright}{leftskip=0pt ightskip=0pt plus 0cm} aggedrightIn this paper, the synchronization of Cohen-Grossberg neural networks with proportional delays is investigated. Firstly, the asymptotical synchronization is proposed by designing a simple linear feedback controller, and some delay-independent and delay-dependent criteria are derived based on variable transformation, reduction to absurdity and Lyapunov functional theory.In addition, an adaptive control strategy is designed to reduce the control cost and the adaptive synchronization is investigated by means of Barbalat lemma.Finally, two numerical examples are given to show the validity and effectiveness of the theoretical results.
	TO cite this article:JIA Shichao,HU Cheng,YU Juan, et al. Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays[J].


	5. Permanence of periodic Beddington-DeAngelis predator-prey system in a two-patch environment with delay
	XU Jie,LIU Nai-Wei
	Mathematics 14 March 2017
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	Abstract:In this paper, we study a two-species periodic Beddington-DeAngelispredator-prey model with delay in a two-patch environment, in whichthe prey species can disperse between two patches, but the predatorspecies cannot disperse. On the basis of the comparison theorem ofdifferential equations, and by constructing appropriate $V$-function, we establish sufficient conditions for thepermanence and extinction of the system.
	TO cite this article:XU Jie,LIU Nai-Wei. Permanence of periodic Beddington-DeAngelis predator-prey system in a two-patch environment with delay[OL].[14 March 2017] http://en.paper.edu.cn/en_releasepaper/content/4721635


	6. Global stability of a predator-prey model with Beddington-DeAngelis and Tanner functional response
	LI Na,LIU Nai-Wei
	Mathematics 13 March 2017
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	Abstract:The stability of predator-prey system is an important research topic in ecological mathematicalfield. In this paper, we study a predator-preysystem with Beddington-DeAngelis and Tanner functional response. By using theiteration method and comparison principle, we prove the global asymptoticstability of the unique positive equilibrium solution.
	TO cite this article:LI Na,LIU Nai-Wei. Global stability of a predator-prey model with Beddington-DeAngelis and Tanner functional response[OL].[13 March 2017] http://en.paper.edu.cn/en_releasepaper/content/4721638


	7. PrAS: Prediction of amidation sites using a multiple feature extraction
	WANG Tong, ZHENG Wei, WUYUN Qiqige, WU Zhenfeng, RUAN Jishou, HU Gang, GAO Jianzhao
	Mathematics 04 July 2016
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	Abstract:Amidation plays an important role in a variety of pathological processes and serious diseases like neural dysfunction and hypertension. However, identification of protein amidation sites through traditional experimental methods is time consuming and laborious. There isn’t a user-friendly prediction tool tailored to amidation sites up to now either. Thus, it’s indispensable and valuable to create a specified convenient tool to provide the potential protein amidation sites for users. In this study we incorporated four types of features and employed improved two-step feature selection, positive contribution feature selection (PCFS), to optimize the final feature set for model learning based on SVM classifier. The predictive capability of each feature type was also be analyzed on the training set and the predictive model achieved AUC of 95.93%, accuracy of 92.10%, sensitivity of 81.21%, specificity of 94.94% and MCC of 75.98% on the independent test set. A novel predictor named PrAS, the first specified prediction tool for protein amidation sites with high predictive capability, can be freely available at https://sourceforge.net/p/praspkg.
	TO cite this article:WANG Tong, ZHENG Wei, WUYUN Qiqige, et al. PrAS: Prediction of amidation sites using a multiple feature extraction[OL].[ 4 July 2016] http://en.paper.edu.cn/en_releasepaper/content/4698552


	8. A Note on Reciprocal Transformations of Two Super Integrable Equations
	Kai Tian
	Mathematics 11 May 2016
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	Abstract:The super Korteweg-de Vries equation, first proposed by Kupershmidt in 1984, is changed into a super extension of the Schwarzian Korteweg-de Vries equation by proper changes of variables. Furthermore based on a simple conservation law, a reciprocal transformation is defined and generates a super Harry Dym equation from the super Schwarzian KdV equation. For a supersymmetric Harry Dym equation first constructed by Brunelli, Das and Popowicz in 2003, a reciprocal transformation is established on its component form and converts the supersymmetric Harry Dym equation to a super equation which is not supersymmetric.
	TO cite this article:Kai Tian. A Note on Reciprocal Transformations of Two Super Integrable Equations[OL].[11 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688354


	9. $K(lowercase{m,n})$ Equations with Fifth Order Symmetries and Their Integrability
	Kai Tian
	Mathematics 09 May 2016
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	Abstract:For a third order equation involving two parameters, first introduced by Rosenau and Hyman, all cases admitting fifth order symmetries are identified. Bi-Hamiltonian structures of five less studied cases are established through their invertible links with some famous integrable equations. Therefore, all cases, having fifth order symmetries, of Rosenau and Hyman's equation are integrable in the bi-Hamiltonian sense. As an interesting observation, their Hamiltonian operators are linearly combinations of basic ingredients in the bi-Hamiltonian theory of Korteweg-de Vries and modified Korteweg-de Vries equations.
	TO cite this article:Kai Tian. $K(lowercase{m,n})$ Equations with Fifth Order Symmetries and Their Integrability[OL].[ 9 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688351


	10. On a Sparre Andersen risk model with dependence between interclaim time and claim size
	HAN Xiao, ZHANG Zhi-Min
	Mathematics 07 January 2016
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	Abstract:In this paper, we consider the ruin problems in the SparreAndersen risk model with dependence between the interclaim time andclaim size. The discounted ladder height distributions are derivedwhenever the marginal density of either the interclaim time or theclaim size is arbitrary, and the results are used to analyze thediscounted penalty function. Finally, we assume that the jointdensity of the interclaim time and claim size is of finite mixtureof bivariate densities, and show that the discounted penaltyfunction can also be obtained by similar techniques.
	TO cite this article:HAN Xiao, ZHANG Zhi-Min. On a Sparre Andersen risk model with dependence between interclaim time and claim size[OL].[ 7 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4675319

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