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학술저널

A NOTION OF EQUIVALENCE FOR STURM-LIOUVILLE OPERATORS

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Journal of the Chungcheong Mathematical Society Volume 37, No. 4.jpg

In this paper we introduce a notion of equivalence forSturm Liouville operators in the sense of Pearson equation. As amain result, we prove that a given Sturm Liouville operator and areal-valued polynomial of degree at least one of this Sturm Liouville operator have the same Pearson equation

1. Introduction

2. Sturm Liouville operator

3. An Equivalence of Sturm Liouville operators

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