Heat polynomial analogs for higher order evolution equations

Polynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable. Further parallels with the heat polynomials are established when the equation is parabolic with constant coefficients and...

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Bibliographic Details
Main Authors:	G. N. Hile, Alexander Stanoyevitch
Format:	Article
Language:	English
Published:	Texas State University 2001-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	heat polynomials polynomial solutions evolution equations
Online Access:	http://ejde.math.txstate.edu/Volumes/2001/28/abstr.html

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spelling	doaj-36456e91b6cf4b59aac06dc7254fa20c2020-11-25T00:53:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912001-05-01200128119Heat polynomial analogs for higher order evolution equationsG. N. HileAlexander StanoyevitchPolynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable. Further parallels with the heat polynomials are established when the equation is parabolic with constant coefficients and only highest order terms. http://ejde.math.txstate.edu/Volumes/2001/28/abstr.htmlheat polynomialspolynomial solutionsevolution equations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	G. N. Hile Alexander Stanoyevitch
spellingShingle	G. N. Hile Alexander Stanoyevitch Heat polynomial analogs for higher order evolution equations Electronic Journal of Differential Equations heat polynomials polynomial solutions evolution equations
author_facet	G. N. Hile Alexander Stanoyevitch
author_sort	G. N. Hile
title	Heat polynomial analogs for higher order evolution equations
title_short	Heat polynomial analogs for higher order evolution equations
title_full	Heat polynomial analogs for higher order evolution equations
title_fullStr	Heat polynomial analogs for higher order evolution equations
title_full_unstemmed	Heat polynomial analogs for higher order evolution equations
title_sort	heat polynomial analogs for higher order evolution equations
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2001-05-01
description	Polynomial solutions analogous to the heat polynomials are demonstrated for higher order linear homogeneous evolution equations with coefficients depending on the time variable. Further parallels with the heat polynomials are established when the equation is parabolic with constant coefficients and only highest order terms.
topic	heat polynomials polynomial solutions evolution equations
url	http://ejde.math.txstate.edu/Volumes/2001/28/abstr.html
work_keys_str_mv	AT gnhile heatpolynomialanalogsforhigherorderevolutionequations AT alexanderstanoyevitch heatpolynomialanalogsforhigherorderevolutionequations
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Heat polynomial analogs for higher order evolution equations

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