A symmetric generalization of Sturm–Liouville problems in discrete spaces

Abstract

Classical Sturm–Liouville problems of a discrete variable are extended for symmetric functions such that the corresponding solutions preserve the orthogonality property. Some generic illustrative examples are given in this sense.

Keywords:

• extension of discrete Sturm–Liouville problems with symmetric solutions
• orthogonal functions of a discrete variable
• self-adjoint equation
• eigenfunctions of a discrete variable

Keywords:

• primary 34B24, 34L10
• secondary 33C47, 05E05

Acknowledgements

The work of M. Masjed-Jamei has been supported by a grant from ‘Iran National Science Foundation’ No. 91002576, and the work of I. Area has been partially supported by the Ministerio de Ciencia e Innovación of Spain under grant MTM2009–14668–C02–01, co-financed by the European Community fund FEDER.

Notes

1 [email protected], [email protected]

Additional information

Notes on contributors

M. Masjed-Jamei

1