A new type of Sturm-Liouville equation in the non-Newtonian calculus (Q823614)
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scientific article; zbMATH DE number 7446732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new type of Sturm-Liouville equation in the non-Newtonian calculus |
scientific article; zbMATH DE number 7446732 |
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A new type of Sturm-Liouville equation in the non-Newtonian calculus (English)
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16 December 2021
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Summary: In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.
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Sturm-Liouville problems
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asymptotic estimates for eigenfunctions
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basic spectral properties
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