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Unstable Neutral Fuctional Differential Equations

Published online by Cambridge University Press:  20 November 2018

Alan Feldstein  and
Zdzislaw Jackiewicz
Alan Feldstein
Affiliation:
Department of Mathematics Arizona State University Tempe, Arizona 85287 U. S. A.
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Abstract

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Let y be the solution of the equation

where A, B, C, λ and η aie complex numbers and It is shown that y has exponential order equal to one if A ≠ 0 and if y is not a polynomial; otherwise, y has exponential order equal to zero. In the latter case, y and all of its derivatives are unbounded on any ray.

Keywords

34K0534K15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 428 - 433
Copyright
Copyright © Canadian Mathematical Society 1990

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