First-Order Linear Difference Equations

Ravi P Agarwal,Claudio Cuevas,Carlos Lizama

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

First-Order Linear Difference Equations

Ravi P Agarwal, Claudio Cuevas + Show 1 more

https://doi.org/10.1007/978-3-319-06447-5_3

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Publication Date: Jan 1, 2014

Affiliation: University of Santiago Chile, Texas A&M University – Kingsville

#Linear Difference Equations #First-order Difference Equations + Show 8 more

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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.

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