Dynamic equations on time scales which can be written in factored form

In this paper, we look at solution techniques for linear dynamic equations on time scales which can be written in a factored form. This generalizes recent work by Bohner and Akin-Bohner on Euler-Cauchy dynamic equations [1, Section 2.3]. We discuss equations containing delta-derivatives, nabla-deriv...

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Veröffentlicht in:Mathematical and computer modelling 2004-06, Vol.39 (11), p.1375-1395
1. Verfasser: Messer, K.R.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we look at solution techniques for linear dynamic equations on time scales which can be written in a factored form. This generalizes recent work by Bohner and Akin-Bohner on Euler-Cauchy dynamic equations [1, Section 2.3]. We discuss equations containing delta-derivatives, nabla-derivatives, or a combination of the two kinds of derivatives. We conclude by describing solution techniques for a constant coefficient dynamic equation which is equivalent to another equation which can be written in factored form.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2004.06.013