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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Bibliographic Details
Published in:Mathematical and computer modelling 2004-06, Vol.39 (11), p.1375-1395
Main Author: Messer, K.R.
Format: Article
Language:English
Subjects:
Constant coefficient
Delta-derivatives
Dynamic equations
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Nabla-derivatives
Numerical analysis. Scientific computation
Partial differential equations
Sciences and techniques of general use
Time scales
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Summary: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