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A Study of Diamond-Alpha Dynamic Equations on Regular Time Scales

Volume 8, Number 1 (2009), 35 - 47

A Study of Diamond-Alpha Dynamic Equations on Regular Time Scales

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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.