Convergence of regular approximations to the spectra of singular fourth-order Sturm–Liouville problems

Author:

Brown Malcolm,Greenberg Leon,Marletta Marco

Abstract

We prove some new results which justify the use of interval truncation as a means of regularising a singular fourth-order Sturm–Liouville problem near a singular endpoint. Of particular interest are the results in the so-called lim-3 case, which has no analogue in second-order singular problems.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. Regular approximation of singular third-order differential operators;Journal of Mathematical Analysis and Applications;2023-05

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