A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5203939 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850216478779899904 |
|---|---|
| author | Sertac Goktas |
| author_facet | Sertac Goktas |
| author_sort | Sertac Goktas |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3c4c8d3a0fc0474392e0a9f7d459da36 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3c4c8d3a0fc0474392e0a9f7d459da362025-08-20T02:08:18ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5203939A New Type of Sturm-Liouville Equation in the Non-Newtonian CalculusSertac Goktas0Department of MathematicsIn 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.http://dx.doi.org/10.1155/2021/5203939 |
| spellingShingle | Sertac Goktas A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus Journal of Function Spaces |
| title | A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus |
| title_full | A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus |
| title_fullStr | A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus |
| title_full_unstemmed | A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus |
| title_short | A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus |
| title_sort | new type of sturm liouville equation in the non newtonian calculus |
| url | http://dx.doi.org/10.1155/2021/5203939 |
| work_keys_str_mv | AT sertacgoktas anewtypeofsturmliouvilleequationinthenonnewtoniancalculus AT sertacgoktas newtypeofsturmliouvilleequationinthenonnewtoniancalculus |