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Journal of Difference Equations and Applications Volume 16, 2010 - Issue 12
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Original Articles

A perturbation theory for the discrete harmonic oscillator equation

Claudio Cuevas Departamento de Matemática, Universidade Federal de Pernambuco, Avenue Professor Luiz Freire, S/N, Recife, PE, CEP. 50540-740, BrazilCorrespondence[email protected]
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&
Julio César de Souza Departamento de Matemática, Universidade Federal de Pernambuco, Avenue Professor Luiz Freire, S/N, Recife, PE, CEP. 50540-740, BrazilView further author information
Pages 1413-1428 | Received 02 Jul 2008, Accepted 15 Feb 2009, Published online: 19 Nov 2010
 
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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.

2000 Mathematics Subject Classification::

Notes

1. The first author is partially supported by CNPQ/Brazil.

Additional information

Notes on contributors

Claudio Cuevas

1

Julio César de Souza

2

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