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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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 |
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Mathematics K. Nonlaopon S. Orankitjaroen A. Kananthai The generalized solutions of a certain n order differential equations with polynomial coefficients |
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© 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]. |
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Khon Kaen University |
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Khon Kaen University K. Nonlaopon S. Orankitjaroen A. Kananthai |
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K. Nonlaopon S. Orankitjaroen A. Kananthai |
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K. Nonlaopon |
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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 |
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The generalized solutions of a certain n order differential equations with polynomial coefficients |
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generalized solutions of a certain n order differential equations with polynomial coefficients |
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2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/36206 |
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