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Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients AbstractIn this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu equations as particular cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

Open Mathematics , Volume 16 (1): 8 – Feb 23, 2018

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Publisher
de Gruyter
Copyright
© 2018 Encinas and Jiménez, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0007
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu equations as particular cases.

Journal

Open Mathematicsde Gruyter

Published: Feb 23, 2018

Keywords: Discrete Schrödinger operator; Mathieu operator; Periodic coefficients; Bounded solutions; 39A12; 39A70

References