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Counterexamples to a Conjecture for Neutral Equations

Published online by Cambridge University Press:  20 November 2018

T. Krisztin ,
R. M. Mathsen  and
Xu Yuantong
T. Krisztin
Affiliation:
Bolyai Institute Aradi Vértanúk tere 1 H-6720 Szeged Hungary
R. M. Mathsen
Affiliation:
Mathematics Department North Dakota State University Fargo, North Dakota 58105-5075 U.S.A.
Xu Yuantong
Affiliation:
Mathematics Department Zhongshan University Guangzhou People's Republic of China 510275
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Abstract

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A collection of examples of first order linear neutral differential delay equations having a nonoscillatory solution with lim sup = ∞ and lim inf = 0 at ∞ is given. This disproves a recent conjecture about the asymptotic behavior of solutions to such equations.

Keywords

34K15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 74 - 77
Copyright
Copyright © Canadian Mathematical Society 1993

References

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