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

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

© 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...

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Main Authors: K. Nonlaopon, S. Orankitjaroen, A. Kananthai
Other Authors: Khon Kaen University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/36206
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spelling th-mahidol.362062018-11-23T17:26:49Z The generalized solutions of a certain n order differential equations with polynomial coefficients K. Nonlaopon S. Orankitjaroen A. Kananthai Khon Kaen University Mahidol University Chiang Mai University Mathematics © 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]. 2018-11-23T10:26:49Z 2018-11-23T10:26:49Z 2015-01-01 Article Integral Transforms and Special Functions. Vol.26, No.12 (2015), 1015-1024 10.1080/10652469.2015.1079906 14768291 10652469 2-s2.0-84941207141 https://repository.li.mahidol.ac.th/handle/123456789/36206 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84941207141&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
K. Nonlaopon
S. Orankitjaroen
A. Kananthai
The generalized solutions of a certain n order differential equations with polynomial coefficients
description © 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].
author2 Khon Kaen University
author_facet Khon Kaen University
K. Nonlaopon
S. Orankitjaroen
A. Kananthai
format Article
author K. Nonlaopon
S. Orankitjaroen
A. Kananthai
author_sort K. Nonlaopon
title The generalized solutions of a certain n order differential equations with polynomial coefficients
title_short The generalized solutions of a certain n order differential equations with polynomial coefficients
title_full The generalized solutions of a certain n order differential equations with polynomial coefficients
title_fullStr The generalized solutions of a certain n order differential equations with polynomial coefficients
title_full_unstemmed The generalized solutions of a certain n order differential equations with polynomial coefficients
title_sort generalized solutions of a certain n order differential equations with polynomial coefficients
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/36206
_version_ 1763496821084127232

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