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Applications

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 7 in Regularity of Difference Equations on Banach Spaces, 2014, pp 119-197 from Springer

Abstract: Abstract In this chapter we present several different types of applications concerning semilinear difference equations. The important problem of finding the practical criterion for R-boundedness is studied in Sect. 7.3. In addition, boundedness and asymptotic behavior of solutions are analyzed. Finally, a criterion for the boundedness of semilinear functional difference equations with infinite delay is presented.

Keywords: Functional Difference Equations; Infinite Delay; Exponential Dichotomy; Volterra Difference; Maximal Regularity (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_7

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DOI: 10.1007/978-3-319-06447-5_7

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