Oscillation criteria for delay equations

Authors:
M. Kon, Y. G. Sficas and I. P. Stavroulakis

Journal:
Proc. Amer. Math. Soc. **128** (2000), 2989-2997

MSC (1991):
Primary 34K15; Secondary 34C10

DOI:
https://doi.org/10.1090/S0002-9939-00-05530-1

Published electronically:
April 28, 2000

MathSciNet review:
1694869

Full-text PDF

Abstract | References | Similar Articles | Additional Information

This paper is concerned with the oscillatory behavior of first-order delay differential equations of the form

(1) |

where is non-decreasing, for and . Let the numbers and be defined by

It is proved here that when and all solutions of Eq. (1) oscillate in several cases in which the condition

holds, where is the smaller root of the equation .

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Additional Information

**M. Kon**

Affiliation:
Department of Mathematics, Boston University, Boston, Massachusetts 02215

Email:
mkon@math.bu.edu

**Y. G. Sficas**

Affiliation:
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

**I. P. Stavroulakis**

Affiliation:
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Email:
ipstav@cc.uoi.gr

DOI:
https://doi.org/10.1090/S0002-9939-00-05530-1

Keywords:
Oscillation,
delay differential equations

Received by editor(s):
December 4, 1998

Published electronically:
April 28, 2000

Dedicated:
Dedicated to Professor V. A. Staikos on the occasion of his 60th birthday

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 2000
American Mathematical Society