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
Format:	Journal
Published:	2018
Subjects:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84941207141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44802
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-448022018-04-25T07:56:40Z The generalized solutions of a certain n order differential equations with polynomial coefficients K. Nonlaopon S. Orankitjaroen A. Kananthai Agricultural and Biological Sciences © 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]. 2018-01-24T04:48:19Z 2018-01-24T04:48:19Z 2015-01-01 Journal 14768291 10652469 2-s2.0-84941207141 10.1080/10652469.2015.1079906 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84941207141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44802
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Agricultural and Biological Sciences
spellingShingle	Agricultural and Biological Sciences 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].
format	Journal
author	K. Nonlaopon S. Orankitjaroen A. Kananthai
author_facet	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://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84941207141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44802
_version_	1681422626967257088

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

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