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A perturbation theory for the discrete harmonic oscillator equation |
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| Authors: | Claudio Cuevas Julio César de Souza |
| Institution: | 1. Departamento de Matemática , Universidade Federal de Pernambuco , Avenue Professor Luiz Freire, S/N, Recife, PE, CEP. 50540-740, Brazil cch@dmat.ufpe.br;3. Departamento de Matemática , Universidade Federal de Pernambuco , Avenue Professor Luiz Freire, S/N, Recife, PE, CEP. 50540-740, Brazil |
| Abstract: | This work deals with the existence, uniqueness and stability of solutions for the semilinear discrete harmonic oscillator equation on Banach spaces by using recent characterization of maximal regularity for a best difference approximation of the discrete harmonic oscillator equation. |
| Keywords: | discrete time stability discrete maximal regularity perturbation theory discrete harmonic oscillator |