The time scale logarithm

被引:5
作者
Jackson, Billy [1 ]
机构
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
关键词
time scale; logarithm; matrix exponential;
D O I
10.1016/j.aml.2007.02.020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we develop a time scale logarithm that preserves certain desirable algebraic properties. In particular, a nonlinear operator is developed that acts as an inverse for the time scale exponential in a certain sense. The scalar case is treated first, with a treatment of the matrix case following. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:215 / 221
页数:7
相关论文
共 3 条
[1]   The logarithm on time scales [J].
Bohner, M .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2005, 11 (15) :1305-1306
[2]  
Bohner M., 2003, Advances in Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-0-8176-8230-9
[3]  
Kelley W.G., 2001, Dynamic Equations on Time Scales: AnIntroduction With Applications, DOI DOI 10.1007/978-1-4612-0201-1