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Sufficient Conditions for the Oscillation of Delay and Neutral Delay Equations

Published online by Cambridge University Press:  20 November 2018

E. A. Grove ,
G. Ladas  and
J. Schinas
E. A. Grove
Affiliation:
Department of Mathematics, University of Rhode Island Kingston, Rhode Island 02881, USA
G. Ladas
Affiliation:
Department of Electrical Engineering, Democritus University of ThraceXanthi 67100, Greece
J. Schinas
Affiliation:
Department of Mathematics, University of Rhode Island Kingston, Rhode Island 02881, USA
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Abstract

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We established sufficient conditions for the oscillation of all solutions of the delay differential equation

and of the neutral delay differential equation

where p, q, r and a are nonnegative constants and n is an odd natural number.

Keywords

34K1534C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 459 - 466
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Arino, O., Ladas, G. and Sficas, Y. G., On oscillations of some retarded differential equations SIAM J. Math. Anal, (to appear).Google Scholar
2. Gyori, I., Oscillations of retarded differential equations of the neutral and the mixed types (to appear).Google Scholar
3. Hunt, B. R. and Yorke, J. A., When all solution of oscillate J. Differential Equations 53 (1984), pp. 139–145.Google Scholar
4. Ladas, G. and Sficas, Y. G, Oscillations of higher-order neutral equations J. Austral. Math. Soc. Ser. B 27 (1986), pp. 502–511.Google Scholar
5. Ladas, G. and Stavroulakis, I. P., Oscillations caused by several retarded and advanced arguments J. Differential Equations 44 (1982), pp. 134–152.Google Scholar
6. Ladas, G., Oscillations of differential equations of the mixed type J. Math. Phys. Sciences 18 (1984), pp. 245–262.Google Scholar
7. Philos, C. G., On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays Archiv. Math. 36 (1980), pp. 168–178.Google Scholar