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

Malcolm Brown; Leon Greenberg; Marco Marletta

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

Malcolm Brown·Leon Greenberg·Marco Marletta

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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.

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Malcolm Brown, Leon Greenberg, Marco Marletta. 1998-01-12. Convergence of regular approximations to the spectra of singular fourth order Sturm-Liouville problems. https://arxiv.org/abs/math/9801052

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