Expansions of Solutions of Higher Order Evolution Equations in Series of Generalized Heat Polynomials

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dc.contributor.authorHile, Gerald N.
dc.contributor.authorStanoyevitch, Alexander
dc.date.accessioned2020-08-17T15:21:46Z
dc.date.available2020-08-17T15:21:46Z
dc.date.issued2002-07-11
dc.description.abstractUpper bound estimates are established on generalized heat polynomials for higher order linear homogeneous evolution equations with coefficients depending on the time variable. These estimates are analogous to well known bounds of Rosenbloom and Widder on the heat polynomials. The bounds lead to further estimates on the width of the strip of convergence of series expansions in terms of these polynomial solutions. An application is given to a Cauchy problem, wherein the solution is expressed as the sum of a series of polynomial solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHile, G. N., & Stanoyevitch, A. (2002). Expansions of solutions of higher order evolution equations in series of generalized heat polynomials. <i>Electronic Journal of Differential Equations, 2002</i>(64), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12397
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHeat polynomials
dc.subjectPolynomial solutions
dc.subjectEvolution equations
dc.subjectSeries expansions
dc.titleExpansions of Solutions of Higher Order Evolution Equations in Series of Generalized Heat Polynomials
dc.typeArticle

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