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...

Full description

Saved in:
Bibliographic Details
Main Authors: K. Nonlaopon, S. Orankitjaroen, A. Kananthai
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84941207141&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/54659
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
id th-cmuir.6653943832-54659
record_format dspace
spelling th-cmuir.6653943832-546592018-09-04T10:19:52Z The generalized solutions of a certain n order differential equations with polynomial coefficients K. Nonlaopon S. Orankitjaroen A. Kananthai 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]. 2018-09-04T10:19:52Z 2018-09-04T10:19:52Z 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/6653943832/54659
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual 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].
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/6653943832/54659
_version_ 1681424361441984512

Similar Items