摘要：
The process of heat conduction in one-dimensional dimerized systems is studied by means of numerical simulation. Taking into account the difference between the strong bond and the weak one of the systems, our calculation indicates that heat conduction in the lattice is anomalous. For the typical parameter related to a real physical system, the divergent exponent is shown to be in agreement with that predicted by the mode-coupling theory. Moreover, our study shows that the homogeneous chain is the best thermal conductor.
摘要：
In this Letter, we consider a nonlinear Schrodinger (NLS) equation iu(l) + u(xx) = -(vertical bar u vertical bar(2) - 1)u and obtain the explicit expressions of two new series of homoclinic and heteroclinic orbit solutions by utilizing the bilinear forms. When this equation is perturbed, we find that the homoclinic orbits degenerate but the heteroclinic orbits still exist. At the same time. the explicit expression of heteroclinic orbit solution to perturbed NLS equation is given by applying variable transformation. Moreover. the relation between global attractor and heteroclinic orbit is investigated. (c) 2006 Elsevier B.V. All rights reserved.
摘要：
The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [S. Gabler, Aufgabe 830, Elem. Math. 3 (1980) 124-125]. Some interesting matrix and geometric inequalities are established to show the applications of our results. (c) 2007 Elsevier Inc. All rights reserved.
作者机构：
[Dai Zheng-De] School of Mathematics and Physics, Yunnan University;[Li Shao-Lin] Department of Mathematics, Honghe College;[Li Dong-Long] Department of Information and Computing Science, Guangxi Institute of Technology;[Zhu Ai-Jun] School of Mathematics and Physics, Nanhua University
通讯机构：
[Dai, ZD ] ;Yunnan Univ, Sch Math & Phys, Kunming 650091, Peoples R China.
关键词：
Bifurcation;Soliton;Kadomtsev-Petviashvili
摘要：
The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u_0=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-II, is investigated.
摘要：
In this letter, a predator-prey system of two-prey one-predator discrete model is investigated. It is proved that the system is permanence under some appropriate conditions. By Jacobian matrix method, a sufficient and necessary condition is derived for the local asymptotic stability of a equilibrium of the system. Meanwhile, we give a suitable example for supporting our theoretical result. (c) 2006 Elsevier Inc. All rights reserved.
摘要：
By making use of inclusion theorem, we show in this paper the existence of solutions with a single semicycle for a general second-order rational difference equation. As a corollary, our results positively confirm Conjectures 4.8.3 and 5.4.6 in [M.R.S. Kulenovic, G. Ladas, Dynamics of Second-Order Rational Difference Equations, with Open Problems and Conjectures, Chapman and Hall/CRC, 2002]. (c) 2006 Elsevier Inc. All rights reserved.
摘要：
We show the existence of a nontrivial homoclinic orbit and subharmonic solutions for a class of second order difference equations by applying the “Mountain Pass” theorem relying on Ekeland’s variational principle and the diagonal method, and the homoclinic orbit as the limit of the subharmonics. A completely new way is provided for dealing with the existence of solutions for difference equations.
摘要：
In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that of omega-k-torsionfree modules. We further study the extension closure of the category consisting of generalized k-syzygy modules. Some known results are obtained as corollaries.
期刊：
Indian Journal of Pure and Applied Mathematics,2007年38(6):579-587 ISSN：0019-5588
通讯作者：
Li, Xianyi
作者机构：
[Li, Xianyi; Li, XY] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Li, Xianyi] N;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Global asymptotic stability;Length of semicycle;Periodicity;Perturbation;Rational difference equation;Semicycle;Trajectory structure rule
摘要：
In this paper the following fourth-order rational difference equation Xn+1 = Xnxn-2b + x n-3b + a / xn-2b + x nxn-3b + a, n = 0, 1, 2, . . ., where a, b ε [0, ∞) and the initial values x-3, x-2, x-1, x0 ε (0, ∞), is considered. It is found that the perturbation of the initial values may lead to the variation of the trajectory structure rule for the solutions of the above equation. That is, with the change of the initial values, the successive lengths of positive and negative semicycles for nontrivial solutions of this equation is found to periodically occur with prime period 15, i.e., . . . 4+, 1 -, 1+, 1-, 2+, 2-, 1 +, 3-, 4+, 1-, l+, 1 -, 2+, 2-, 1+, 3-, 4 +, 1-, l+, 1-, 2+, 2 -, 1+, 3-, . . . . By the use of the rule, the positive equilibrium point of the equation is verified to be globally asymptotically stable.
作者机构：
[Liao, Xinyuan] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;Shanghai Univ, Dept Mat Sci, Shanghai 200444, Peoples R China.;Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Liao, Xinyuan] N;Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, the basic definitions of inner-product and outer-product of Vague set are introduced. Based on that, some characters of them are brought forward and the particular proof are presented afterward.
期刊：
Applied Mathematics and Computation,2006年181(2):803-815 ISSN：0096-3003
通讯作者：
Chen, FD
作者机构：
[Chen, Fengde] College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China;[Huang, Zhenkun] School of Sciences, Jimei University, Xiamen, Fujian 361021, China;[Liao, Xinyuan] Department of Mathematics, Shanghai University, Shanghai, 200444, China;[Liao, Xinyuan] School of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, China
通讯机构：
[Chen, FD ] ;Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China.
