Publication: Finite series of distributional solutions for certain linear differential equations
| dc.contributor.author | Nipon Waiyaworn | en_US |
| dc.contributor.author | Kamsing Nonlaopon | en_US |
| dc.contributor.author | Somsak Orankitjaroen | en_US |
| dc.contributor.other | Khon Kaen University | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2020-11-18T09:49:22Z | |
| dc.date.available | 2020-11-18T09:49:22Z | |
| dc.date.issued | 2020-12-01 | en_US |
| dc.description.abstract | © 2020 by the authors. Licensee MDPI, Basel, Switzerland. In this paper, we present the distributional solutions of the modified spherical Bessel differential equations t2y′′ (t) + 2ty′ (t) − [t2 + ν(ν + 1)]y(t) = 0 and the linear differential equations of the forms t2y′′ (t) + 3ty′ (t) − (t2 + ν2 − 1)y(t) = 0, where ν ∈ N ∪ {0} and t ∈ R. We find that the distributional solutions, in the form of a finite series of the Dirac delta function and its derivatives, depend on the values of ν. The results of several examples are also presented. | en_US |
| dc.identifier.citation | Axioms. Vol.9, No.4 (2020), 1-12 | en_US |
| dc.identifier.doi | 10.3390/axioms9040116 | en_US |
| dc.identifier.issn | 20751680 | en_US |
| dc.identifier.other | 2-s2.0-85095112247 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/123456789/60003 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85095112247&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | Finite series of distributional solutions for certain linear differential equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85095112247&origin=inward | en_US |