Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time

Author: Castro Airton   Cuevas Claudio  

Publisher: Taylor & Francis Ltd

ISSN: 1023-6198

Source: Journal of Difference Equations and Applications, Vol.17, Iss.3, 2011-03, pp. : 327-358

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Abstract

This work deals with the existence, uniqueness and stability of solutions for semilinear discrete second order evolution equations in Banach spaces by using recent characterization of well-posedness for second order evolution equations in terms of R-boundedness and lp-multipliers. We also give results on boundedness and asymptotic behaviour for semilinear discrete evolution equations.