二阶非线性动态方程的周期边值问题解的存在性

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (2): 31-34.

二阶非线性动态方程的周期边值问题解的存在性

广东白云学院基础部；广东工业大学应用数学学院广东广州510450；广东广州510090；

出版日期:2008-06-01 发布日期:2008-06-01

The Existence to Solution to Second-order Nonlinear Dynamical Equation

1.Department of Basic Sciences,Guangdong Baiyun University,Guangzhou 510450,China; 2.Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China

Online:2008-06-01 Published:2008-06-01

摘要/Abstract

摘要： 讨论了一类非线性动态方程周期边值问题,结合时间标度理论,运用Marhin的重合度定理,给出了解的存在性判别条件,并给出了应用举例.

关键词: 时间标度；周期边值；动态方程；

Abstract: The existence of solution is studied to second-order nonlinear dynamical equation by using the metheod of coincidence degree theorem advanced by Mawhin.The conditions for the existence are given,and the solution is illustrated.

Key words: time scales； period boundary； dynamical equation；

刘会灵；彭世国； . 二阶非线性动态方程的周期边值问题解的存在性[J]. 广东工业大学学报, 2008, 25(2): 31-34.

Liu Hui-ling1,Peng Shi-guo2. The Existence to Solution to Second-order Nonlinear Dynamical Equation[J]. Journal of Guangdong University of Technology, 2008, 25(2): 31-34.

参考文献

[1] Stefen Hilger.Ein Maβkettekalkul mit Anwendung AufZentrumsmannigfultigkeiten. . 1988

[2] Gulsan Topal S.Second-order periodic boundary valueproblems on time scales. Cumputers and Mathematicswith Applications . 2004

[3] BOHNER M,AGARWAL R P.Quadratic functionals forsecond order m atrix equations on tim e scales. Nonlinear Analysis . 1998

[4] Bohner M,Peterson A.Dynamic Equations on Time Scales. . 2001

[5] Douglas R.Anderson.Multiple periodic solutions for a second-order problem on periodic time scales. Nonlinear Analysis . 2005

[6] Sun J P,Li W T.Positive solution for system of nonlinear first-order PBVPs on time scales. Nonlinear Analysis . 2005

[7] Guo D,Lakshmikantham V.Nonlinear Problems in Abstract Cones. . 1988

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed