Publication:
The Generalized Solutions of the nth Order Cauchy-Euler Equation

Issued Date

2019-10-01

Resource Type

Article

ISSN

22277390

DOI

10.3390/math7100932

Other identifier(s)

2-s2.0-85073691586

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Mathematics. Vol.7, No.10 (2019), 932

Suggested Citation

Amornrat Sangsuwan, Kamsing Nonlaopon, Somsak Orankitjaroen, Ismail Mirumbe The Generalized Solutions of the nth Order Cauchy-Euler Equation. Mathematics. Vol.7, No.10 (2019), 932. doi:10.3390/math7100932 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/51216

Research Projects

Organizational Units

Authors

Journal Issue

Thesis

Title

The Generalized Solutions of the nth Order Cauchy-Euler Equation

Author(s)

Amornrat Sangsuwan
 Kamsing Nonlaopon
 Somsak Orankitjaroen
 Ismail Mirumbe

Other Contributor(s)

Makerere University
 Khon Kaen University
 Mahidol University

Abstract

© 2019 by the authors. In this paper, we use the Laplace transform technique to examine the generalized solutionsof the nth order Cauchy-Euler equations. By interpreting the equations in a distributional way, we found that whether their solution types are classical, weak or distributional solutions relies on the conditions of their coefficients. To illustrate our findings, some examples are exhibited.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/51216

Collections

Scopus 2019