Publication: The generalized solutions of a certain n th order Cauchy-Euler equation
| dc.contributor.author | Amornrat Sangsuwan | en_US |
| dc.contributor.author | Kamsing Nonlaopon | en_US |
| dc.contributor.author | Somsak Orankitjaroen | en_US |
| dc.contributor.other | South Carolina Commission on Higher Education | en_US |
| dc.contributor.other | Khon Kaen University | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2019-08-23T11:31:22Z | |
| dc.date.available | 2019-08-23T11:31:22Z | |
| dc.date.issued | 2018-01-01 | en_US |
| dc.description.abstract | © 2020 World Scientific Publishing Company. In this paper, we propose the generalized solutions of a certain nth order Cauchy-Euler equation of the form tny(n)(t) + tn-1y(n-1)(t) + ⋯ + ty′(t) + my(t) = 0, where m and n are any integers with n ≥ 2, and t using Laplace transform technique. We find that the types of solutions either distributional solutions or weak solutions, depend on the values of m. At the end of the paper, we give some examples showing the types of solutions. | en_US |
| dc.identifier.citation | Asian-European Journal of Mathematics. (2018) | en_US |
| dc.identifier.doi | 10.1142/S1793557120500473 | en_US |
| dc.identifier.issn | 17937183 | en_US |
| dc.identifier.issn | 17935571 | en_US |
| dc.identifier.other | 2-s2.0-85055792976 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/46110 | |
| 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=85055792976&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | The generalized solutions of a certain n th order Cauchy-Euler equation | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85055792976&origin=inward | en_US |