Publication:
The generalized solutions of a certain n order differential equations with polynomial coefficients

1

Issued Date

2015-01-01

Resource Type

Article

ISSN

14768291
10652469

DOI

10.1080/10652469.2015.1079906

Other identifier(s)

2-s2.0-84941207141

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Integral Transforms and Special Functions. Vol.26, No.12 (2015), 1015-1024

Suggested Citation

K. Nonlaopon, S. Orankitjaroen, A. Kananthai The generalized solutions of a certain n order differential equations with polynomial coefficients. Integral Transforms and Special Functions. Vol.26, No.12 (2015), 1015-1024. doi:10.1080/10652469.2015.1079906 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/36206

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Title

The generalized solutions of a certain n order differential equations with polynomial coefficients

Author(s)

K. Nonlaopon
 S. Orankitjaroen
 A. Kananthai

Other Contributor(s)

Khon Kaen University
 Mahidol University
 Chiang Mai University

Abstract

© 2015 Taylor & Francis. In this paper, we propose the generalized solutions of the differential equation (Formula presented.) where m and n are any integers with (Formula presented.) , and (Formula presented.) using Laplace transform technique. We find that the types of Laplace transformable solutions in the space of right-sided distributions depend on the relationship between m and n. Precisely, we have a distributional solution provided (Formula presented.) , and a weak solution otherwise. Our work improves the result of Kananthai [The distribution solutions of ordinary differential equation with polynomial coefficients. Southeast Asian Bull Math. 2001;25:129–134].

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/123456789/36206

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Scopus 2011-2015