Regular boundary value problems on a path throughout Chebyshev Polynomials
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Tipus de documentArticle
Data publicació2006-08
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Reconeixement-NoComercial-SenseObraDerivada 2.5 Genèrica
Abstract
In this work we study the different types of regular boundary value
problems on a path associated with the Schrödinger operator. In
particular, we obtain the Green function for each problem and we
emphasize the case of Sturm-Liouville boundary conditions. In
addition, we study the periodic boundary value problem that
corresponds to the Poisson equation in a cycle. In any case, the
Green functions are given in terms of Chebyshev polynomials since
they verify a recurrence law similar to the one verified by the
Schrödinger operator on a path.
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