Expansions of solutions of higher order evolution equations in series of generalized heat polynomials

Upper 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 furt...

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Bibliographic Details
Main Authors: G. N. Hile, Alexander Stanoyevitch
Format: Article
Language:English
Published: Texas State University 2002-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/64/abstr.html