Dependence of eigenvalues of Sturm– Liouville problems with interface conditions

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摘要

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.

论文关键词:Sturm– Liouville problems,Interface conditions,Continuity,Differential expression

论文评审过程:Received 27 October 2014, Revised 18 February 2015, Accepted 2 May 2015, Available online 22 May 2015, Version of Record 22 May 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.05.002