Publication:
The generalized solutions of a certain n th order Cauchy-Euler equation

Issued Date

2018-01-01

ISSN

17937183
17935571

DOI

10.1142/S1793557120500473

Other identifier(s)

2-s2.0-85055792976

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Asian-European Journal of Mathematics. (2018)

Suggested Citation

Amornrat Sangsuwan, Kamsing Nonlaopon, Somsak Orankitjaroen The generalized solutions of a certain n th order Cauchy-Euler equation. Asian-European Journal of Mathematics. (2018). doi:10.1142/S1793557120500473 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46110

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Title

The generalized solutions of a certain n th order Cauchy-Euler equation

Author(s)

Amornrat Sangsuwan
 Kamsing Nonlaopon
 Somsak Orankitjaroen

Other Contributor(s)

South Carolina Commission on Higher Education
 Khon Kaen University
 Mahidol University

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46110

Collections

Scopus 2018