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

Malcolm Brown, Leon Greenberg, Marco Marletta

math.SParXiv:math/9801052

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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