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arxiv: math/9801052 · v1 · submitted 1998-01-12 · 🧮 math.SP · math.FA

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

classification 🧮 math.SP math.FA
keywords singularorderfourthproblemsresultssturm-liouvilleanalogueapproximations
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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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