Extensions

Martin Bohner and Allan Peterson
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Martin Bohner: Univeristy of Missouri-Rolla, Department of Mathematics
Allan Peterson: University of Nebraska, Department of Mathematics

Chapter Chapter 8 in Dynamic Equations on Time Scales, 2001, pp 315-336 from Springer

Abstract: Abstract In this last chapter we present some possible forms of extensions of the theory of time scales. One such extension is the model of a measure chain as developed by Stefan Hilger in [160], which will be discussed in the first section of this chapter. We also present so-called alpha derivatives as introduced by Ahlbrandt, Bohner, and Ridenhour in [24]. Many results presented in this book can be derived for these more general models, and research in these areas continues.

Keywords: Chain Rule; Nonlinear Theory; Jump Operator; Induction Principle; Jump Function (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0201-1_8

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DOI: 10.1007/978-1-4612-0201-1_8

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