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:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/28/abstr.html
Description
Summary: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.
ISSN:1072-6691