Dependence of eigenvalues of Sturm– Liouville problems with interface conditions

Maozhu Zhang and Yicao Wang

Applied Mathematics and Computation, 2015, vol. 265, issue C, 31-39

Abstract: This paper investigates Sturm– Liouville problems with interface conditions. We obtain that the eigen values depend not only continuously but also smoothly on the coefficient functions, boundary conditions and interface conditions. Moreover, the derivative of the eigenvalues with respect to each of these parameters is given.

Keywords: Sturm– Liouville problems; Interface conditions; Continuity; Differential expression (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:31-39

DOI: 10.1016/j.amc.2015.05.002

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