A Study of Diamond-alpha dynamic equations on regular time scales
arXiv:0902.1380
Abstract
We introduce the diamond-alpha exponential function on time scales. As particular cases, one gets both delta and nabla exponential functions. A method of solution of a homogenous linear dynamic diamond-alpha equation on a regular time scale is investigated, and examples of diamond-alpha exponential functions are presented.
Accepted (09/February/2009) for publication at the "African Diaspora Journal of Mathematics", http://www.african-j-math.org