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arxiv: 0902.1380 · v1 · submitted 2009-02-09 · 🧮 math.CA · math.DS

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

classification 🧮 math.CA math.DS
keywords diamond-alphaexponentialtimedynamicfunctionsregularscalescases
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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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