Linear Systems and Higher Order Equations

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 5 in Dynamic Equations on Time Scales, 2001, pp 189-254 from Springer

Abstract: Abstract Definition 5.1. Let A be an m × n-matrix-valued function on $$ \mathbb{T} $$ . We say that A is rd-continuous on $$ \mathbb{T} $$ if each entry of A is rd-continuous $$ \mathbb{T} $$ , and the class of all such rd-continuous onm × n-matrix-valued functions on $$ \mathbb{T} $$ is denoted, similar to the scalar case (see Definition 1.58), by $$ C_{rd} = C_{rd} (\mathbb{T}) = C_{rd} (\mathbb{T},\mathbb{R}^{m \times n} ). $$

Keywords: Dynamic Equation; Prepared Solution; Dichotomy Condition; High Order Equation; Cauchy 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_5

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DOI: 10.1007/978-1-4612-0201-1_5

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