A Study of Diamond-alpha dynamic equations on regular time scales

Details A Study of Diamond-alpha dynamic equations on regular time scales A Study of Diamond-alpha dynamic equations on regular time scales

2009-02-09

arxiv.org/abs/0902.1380v1

Afr. Diaspora J. Math. 8 (2009), No. 1, pp. 35-47

Mathematics

Classical Analysis and ODEs

Accepted (09/February/2009) for publication at the "African Diaspora Journal of Mathematics", http://www.african-j-math.org

Scientific paper

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.

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