作者机构：
[Chen Yuan; Hu ZhiQuan] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Chen Yuan] Wuhan Text Univ, Coll Math & Comp Sci, Wuhan 430073, Peoples R China.;[Chen GuanTao] Georgia State Univ, Dept Math & Stat, Atlanta, GA 30303 USA.
通讯机构：
[Chen Yuan] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
A tree with atmost m leaves is called an m-ended tree. Kyaw proved that every connected K
1,4-free graph with σ
4(G) ⩽ n−1 contains a spanning 3-ended tree. In this paper we obtain a result for k-connected K
1,4-free graphs with k ⩽ 2. Let G be a k-connected K
1,4-free graph of order n with k ⩽ 2. If σ
k+3(G) ⩽ n+2k −2, then G contains a spanning 3-ended tree.
摘要：
In this paper, we study the existence and concentration of weak solutions to the p-Laplacian type elliptic problem {fx1-1} where Ω is a domain in ℝ
N
, possibly unbounded, with empty or smooth boundary, ɛ is a small positive parameter, f ∈ C
1(ℝ+, ℝ) is of subcritical and V: ℝ
N
→ ℝ is a locally Hölder continuous function which is bounded from below, away from zero, such that infΛ
V < min∂Λ
V for some open bounded subset Λ of Ω. We prove that there is an ɛ
0 > 0 such that for any ɛ ∈ (0, ɛ
0], the above mentioned problem possesses a weak solution u
ε
with exponential decay. Moreover, u
ε
concentrates around a minimum point of the potential V in Λ. Our result generalizes a similar result by del Pino and Felmer (1996) for semilinear elliptic equations to the p-Laplacian type problem.
期刊：
Journal of Differential Equations,2014年257(2):566-600 ISSN：0022-0396
通讯作者：
Li, Gongbao
作者机构：
[Li, Gongbao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Li, Gongbao] C;Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
关键词：
Kirchhoff equation;Ground state solutions;Pohoz̆aev type identity;Variational methods
摘要：
In this paper, we study the following nonlinear problem of Kirchhoff type with pure power nonlinearities: {-(a + b integral(R3) vertical bar Du vertical bar(2)) Delta u + V(x)u = vertical bar u vertical bar(p-1)u, x is an element of R-3, (0.1) u is an element of H-1 (R-3), u > 0, x is an element of R-3, where a, b > 0 are constants, 2 < p < 5 and V : R-3 -> R. Under certain assumptions on V. we prove that (0.1) has a positive ground state solution by using a monotonicity trick and a new version of global compactness lemma. Our main results especially solve problem (0.1) in the case where p is an element of (2, 3], which has been an open problem for Kirchhoff equations and can be viewed as a partial extension of a recent result of He and Zou in [14] concerning the existence of positive solutions to the nonlinear Kirchhoff problem {-(epsilon(2)a + epsilon b integral(R3) vertical bar Du vertical bar(2)) Delta u + V(x)u = f(u), x is an element of R-3, u is an element of H-1 (R-3), u > 0, x is an element of R-3, where epsilon > 0 is a parameter, V(x) is a positive continuous potential and f (u) similar to vertical bar u vertical bar(p-1)u with 3 < p < 5 and satisfies the Ambrosetti-Rabinowitz type condition. Our main results extend also the arguments used in [7,33], which deal with Schrodinger-Poisson system with pure power nonlinearities, to the Kirchhoff type problem. (C) 2014 Elsevier Inc. All rights reserved.
期刊：
Journal of Mathematical Physics,2014年55(12):121501 ISSN：0022-2488
通讯作者：
Ye, Hong-Yu
作者机构：
[Li, Gong-Bao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;[Li, Gong-Bao] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Ye, Hong-Yu] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China.
摘要：
In this paper, we study the existence of positive solutions with prescribed L-2-norm to a class of nonlinear Choquard equation -Delta u -lambda u = ( I-alpha * F( u)) F'(u) in R-N, where lambda is an element of R, N >= 3, alpha is an element of( 0, N), I-alpha : R-N -> R is the Riesz potential. Under some conditions imposed on F, by using a minimax procedure and the concentration compactness of P. L. Lions, we show that for any c > 0, the equation possesses at least a couple (u(c), lambda(c)) is an element of H-1(R-N) X R- of weak solution such that parallel to u parallel to(2) (2)(L) ((RN)) = c. (C) 2014 AIP Publishing LLC.
作者机构：
[郑承利] School of Economics, Huazhong Normal University, Wuhan 430079, China;[陈燕] School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China
通讯机构：
School of Economics, Huazhong Normal University, China
关键词：
组合选择;等熵风险测度;风险识别能力;随机占优一致
摘要：
本文基于一种新的一致性风险测度——等熵风险测度,进行组合优化,以检验其择股能力,从而检验其风险识别能力.先就风险识别能力,尤其随机占优一致性对三种基于分位数的风险测度:VaR, ES (expected shortfall)和等熵风险测度进行了介绍与对比.VaR具有一阶随机占优一致性,而ES具有二阶随机占优一致性;等熵风险测度利用了整个分布的信息,不再是简单的0-1风险测度,这与VaR和ES显著不同.而且,等熵风险测度具有更高阶的随机占优一致性,这使得该风险测度具有更好的风险分辨能力.而后采用Spearman秩检验方法来检验和预测不同风险测度的风险识别能力,这与随机占优一致性阶数相呼应.最后,在上证50指数成份股中采用组合优化方法,考察标准差,VaR, ES以及等熵风险测度情况下,优化组合持有期的不同业绩指标.结果表明,等熵风险测度优化组合的业绩指标最好,表明该测度风险识别能力最高.
摘要：
We consider the system linearly coupled by nonlinear Schrödinger equations in ℝ3: $\{\begin{array}{c}-\mathrm{\Delta }{\mathrm{u}}_{\mathrm{j}}+{\mathrm{u}}_{\mathrm{j}}={\mathrm{u}}_{\mathrm{j}}^{3}-\mathrm{\varepsilon }\sum _{\mathrm{i}\ne \mathrm{j}}^{\mathrm{N}}{\mathrm{u}}_{\mathrm{i}},\mathrm{x}\in {\mathrm{\mathbb{R}}}^{3},\\ {\mathrm{u}}_{\mathrm{j}}\in {\mathrm{H}}^{1}\left({\mathrm{\mathbb{R}}}^{3}\right),\mathrm{j}=1,\cdots,\mathrm{N},\end{array}$ where ε ∈ ℝ is a coupling constant. This type of system arises in particular in models in nonlinear N-core fiber. We then examine how the linear coupling affects the solution structure. When N = 2,3, for any prescribed integer ℓ ≥ 2, we construct a nonradial vector solution of segregated type, with two components having exactly ℓ positive bumps for ε > 0 sufficiently small. We also give an explicit description of the characteristic features of the vector solutions.
作者：
Asmhan Flieh Hassan;Cailin Dong;Zahir M. Hussain
期刊：
Journal of Computer Science,2014年10(11):2269-2283 ISSN：1549-3636
通讯作者：
Hussain, Z.M.
作者机构：
School of Mathematics and Statistics, HuaZhong Normal University, 152 Luoyu Road, Wuhan, 430079, China;Department of Mathematics University of Kufa, Najaf, Iraq;Department of Computer Science, University of Kufa, Najaf, Iraq;School of Engineering, Edith Cowan University, Australia
通讯机构：
Department of Computer Science, University of Kufa, P.O. Box 21, Kufa, Najaf, Iraq
作者机构：
[Wang, Chunhua; Liu, Weiming] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Wang, Chunhua] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Magnetic fields;Multi-peak solutions;Nonlinear Schrödinger equation
摘要：
In this paper, we study a nonlinear Schrödinger equation with magnetic fields involving subcritical growth. Applying the finite reduction method, we prove that the equation has multi-peak solutions under some suitable conditions which are given in section 1.
期刊：
INDIANA UNIVERSITY MATHEMATICS JOURNAL,2014年63(4):1085-1108 ISSN：0022-2518
通讯作者：
Zhu, Changjiang
作者机构：
[Yin, Haiyan; Liu, Qingqing] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China.;[Zhu, Changjiang] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China.
通讯机构：
[Zhu, Changjiang] S;S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China.
作者机构：
[Chen, Mao; Liu, Zhi; Liu, Sanya; Tang, Xiangyang; Min, Lei] National Engineering Research Center for E-Learning, Central China Normal University, Wuhan, China;[Tang, Xiangyang] School of Mathematics and Statistics, Central China Normal University, Wuhan, China
通讯机构：
National Engineering Research Center for E-Learning, Central China Normal University, Wuhan, China
关键词：
Community detection;Complex network;Interference node;Local community
通讯机构：
[Xu, Ying] U;Univ Georgia, Dept Biochem & Mol Biol, Computat Syst Biol Lab, Athens, GA 30602 USA.
关键词：
genome;operon;rna
摘要：
We have recently developed a new version of the DOOR operon database, DOOR 2.0, which is available online at http://csbl.bmb.uga.edu/DOOR/ and will be updated on a regular basis. DOOR 2.0 contains genome-scale operons for 2072 prokaryotes with complete genomes, three times the number of genomes covered in the previous version published in 2009. DOOR 2.0 has a number of new features, compared with its previous version, including (i) more than 250 000 transcription units, experimentally validated or computationally predicted based on RNA-seq data, providing a dynamic functional view of the underlying operons; (ii) an integrated operon-centric data resource that provides not only operons for each covered genome but also their functional and regulatory information such as their cis-regulatory binding sites for transcription initiation and termination, gene expression levels estimated based on RNA-seq data and conservation information across multiple genomes; (iii) a high-performance web service for online operon prediction on user-provided genomic sequences; (iv) an intuitive genome browser to support visualization of user-selected data; and (v) a keyword-based Google-like search engine for finding the needed information intuitively and rapidly in this database.
会议名称：
7th International Joint Conference on Computational Sciences and Optimization (CSO)
会议时间：
JUL 04-06, 2014
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
[Liang, Changzhi;Zhu, Xiaoqian] Univ Chinese Acad Sci, Sch Management, Beijing 100190, Peoples R China.^[Yao, Yanzhen] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.^[Li, Jianping] Chinese Acad Sci, Inst Policy & Management, Beijing 100190, Peoples R China.
会议论文集名称：
International Joint Conference on Computational Sciences and Optimization
关键词：
maximum entropy method;transfer entropy method;interbank exposure matrix
摘要：
Maximum entropy method (MEM) is the traditional approach to estimate interbank exposure matrix, which is the key to assess contagion effect in banking system. Recently, a new transfer entropy method (TEM) is proposed to estimate interbank exposure matrix. This paper employs the two approaches to estimate interbank exposure matrix of Chinese banking system, and then simulate the contagion process given the initial failure of a bank in the system. The comparison of the results indicate that MEM is consistent with TEM when it comes to general and qualitative features of Chinese banking system; while the differences begin to emerge when it comes to the exact and quantitative features of Chinese banking system.
