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Second-Order Semilinear 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 6 in Regularity of Difference Equations on Banach Spaces, 2014, pp 99-118 from Springer

Abstract: Abstract In this chapter we are concerned with the study of the existence of bounded solutions for certain second-order semilinear difference equations by means of the knowledge of maximal regularity properties for the associated homogeneous discrete-time evolution equation.

Keywords: Maximal Regularity Property; Second-order Evolution Equations; Discrete Derivative; Local Perturbations; Lipschitz Condition (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_6

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DOI: 10.1007/978-3-319-06447-5_6

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