Second-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 5 in Regularity of Difference Equations on Banach Spaces, 2014, pp 71-97 from Springer

Abstract: Abstract This chapter introduces the notion of discrete maximal regularity for second-order linear difference equations. In analogy to the case of first-order linear difference equations studied previously, we obtain a characterization of maximal l p -regularity. The study of reduction of order is also treated in this chapter. We also provide examples and several comments concerning open problems on this part of the theory.

Keywords: Maximal Regularity; Linear Ordinary Differential Equation; Linear Difference Equation; Closed Linear Operator; Fractional Difference Equation (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_5

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DOI: 10.1007/978-3-319-06447-5_5

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