First-Order Linear Difference Equations

Ravi P. Agarwal, Claudio Cuevas and Carlos Lizama
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Ravi P. Agarwal: Texas A&M University, Department of Mathematics
Claudio Cuevas: Universidade Federal de Pernambuco, Departamento de Matemática
Carlos Lizama: Universidad de Santiago de Chile, Departamento de Matemática y Ciencia de la Computación

Chapter Chapter 3 in Regularity of Difference Equations on Banach Spaces, 2014, pp 47-55 from Springer

Abstract: Abstract In this chapter we present the maximal discrete regularity approach to first-order linear difference equations in general Banach spaces. In the first section we introduce the general frame for first-order linear difference equations. The entire linear theory of maximal regularity is not only important on its own, but it is also the indispensable basis for the theory of nonlinear difference equations, which we present in the next chapter.

Keywords: First-order Linear Difference Equation; Maximal Regularity; Indispensable Basis; General Banach Spaces; Blunck (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06447-5_3

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DOI: 10.1007/978-3-319-06447-5_3

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