期刊：
NEW YORK JOURNAL OF MATHEMATICS,2011年17:41-49 ISSN：1076-9803
通讯作者：
Li, Liulan
作者机构：
[Li, Liulan; Li, LL] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Li, Liulan] H;Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China.
关键词：
Jorgensen's inequality;Mobius transformation in infinite dimension;Clifford algebra
摘要：
In this paper, we give a generalization of Jorgensen's inequality to hyperbolic Mobius transformations in infinite dimension by using Clifford algebras. We also give an application.
期刊：
Journal of Applied Mathematics and Computing,2011年35(1-2):323-340 ISSN：1598-5865
通讯作者：
Sun, J.(sunjuntao2008@163.com)
作者机构：
[Yang, Liu; Chen, Haibo; Sun, Juntao] Department of Mathematics, Central South University, Changsha, Hunan 410075, China;[Yang, Liu] Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
通讯机构：
[Juntao Sun] D;Department of Mathematics, Central South University, Changsha, People’s Republic of China
关键词：
Boundary value problems;Critical points;Impulsive differential equations;Variational methods
摘要：
Many dynamical systems have impulsive dynamical behaviors due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this paper, we study the existence and multiplicity of solutions for fourth-order impulsive differential equations. By using the variational methods and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one nontrivial solution, infinitely many distinct solutions under some different conditions, respectively. Some examples are given in this paper to illustrate the feasibilities of our main results.
期刊：
NEW YORK JOURNAL OF MATHEMATICS,2011年17:41-49 ISSN：1076-9803
通讯作者：
Li, L.
作者机构：
Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang Hunan 421008, China
通讯机构：
Department of Mathematics and Computational Science, Hengyang Normal University, China
关键词：
Clifford algebra;Jørgensen's inequality;Möbius transformation in infinite dimension
摘要：
In this paper, we give a generalization of Jørgensen's inequality to hyperbolic Möbius transformations in infinite dimension by using Clifford algebras. We also give an application.
期刊：
Abstract and Applied Analysis,2011年2011:1-15 ISSN：1085-3375
通讯作者：
Chen, Haibo
作者机构：
[Chen, Haibo; Yang, Liu] Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China.;[Yang, Liu] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.
通讯机构：
[Chen, Haibo] C;Cent S Univ, Dept Math, Changsha 421008, Hunan, Peoples R China.
关键词：
We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory;we obtain such a system possesses at least one nonzero;two nonzero;or infinitely many periodic solutions generated by impulses under different conditions;respectively. Recent results in the literature are generalized and significantly improved. Published: 2011 First available in Project Euclid: 12 August 2011 zbMATH: 1253.34046 MathSciNet: MR2800077 Digital Object Identifier: 10.1155/2011/310957
作者机构：
[李元旦; 罗李平] Department of Mathematics and Computational Science,Hengyang Normal University;[俞元洪] Academy of Mathematics and Systems Science,Chinese Academy of Sciences
关键词：
H-oscillation;vector;parabolic equation;continuous distribution argument
摘要：
The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.
