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

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

References in corpus (2)

• Diamond-$\alpha$ Jensen's Inequality on Time Scales
• The diamond-alpha Riemann integral and mean value theorems on time scales

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