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Conditions for oscillation of first order neutral delay differential equations

Published online by Cambridge University Press:  17 April 2009

Ziwen Jiang
Ziwen Jiang
Affiliation:
Department of MathematicsShandong Normal UniversityJinanShandong 250014People's Republic of China
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Abstract

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In this paper, some new sufficient conditions for oscillation of first order neutral delay differential equations with several variable coefficients are obtained. These sufficient conditions include and are in many cases weaker than those known.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 1 - 16
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Grammatikopoulos, M.K., Sficas, Y.G. and Stavroulakis, I.P., ‘Necessary and sufficient conditions for oscillations of neutral equations with several coefficients’, J. Differential Equations 76 (1988), 294–311.CrossRefGoogle Scholar
[2]Grammatikopoulos, M.K., Grove, E.A. and Ladas, G., ‘Oscillations of first order neutral delay differential equations’, J. Math. Anal. Appl. 120 (1986), 510–520.CrossRefGoogle Scholar
[3]Grammatikopoulos, M.K., Grove, E. A. and Ladas, G., ‘Oscillation and asymptotic behaviour of first order neutral differential equations with deviating arguments’, Appl. Anal. 22 (1986), 1–19.CrossRefGoogle Scholar
[4]Ladas, G. and Sficas, Y.G., ‘Oscillations of neutral delay differential equations’, Canad. Math. Bull. 29 (1986), 438–445.CrossRefGoogle Scholar
[5]Gopalsamy, K. and Zhang, B.G., ‘Oscillation and nonoscillation in first order neutral differential equations’, J. Math. Anal. Appl. 151 (1990), 42–57.CrossRefGoogle Scholar
[6]Ziwen, Jiang, ‘Oscillation of first order neutral delay differential equations’, J. Math. Anal. Appl. 196 (1995), 800–813.Google Scholar