Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T19:49:29.449Z Has data issue: false hasContentIssue false
  • English
  • Français

Oscillation in Differential Equations with Positive and Negative Coefficients

Published online by Cambridge University Press:  20 November 2018

G. Ladas  and
C. Qian
G. Ladas
Affiliation:
Department of Mathematics The University of Rhode Island Kingston, R.I. 02881-0816. U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We obtain sufficient conditions for the oscillation of all solutions of the linear delay differential equation with positive and negative coefficients

where

Extensions to neutral differential equations and some applications to the global asymptotic stability of the trivial solution are also given.

Keywords

34K1534C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 442 - 451
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Anno, O., Ladas, G. and Sficas, Y. G., On oscillations of some retarded differential equations, SI AM J. Math. Anal. 18 (1987) 64–73.Google Scholar
2. Chuanxi, Q. and Ladas, G., Oscillations ofneutal differential equations with variable coefficients, Appl. Anal. 32 (1989) 215–228.Google Scholar
3. Farrell, K., Necessary and sufficient conditions for oscillations of neutral equations with real coefficients, J. Math. Anal, and Appl. (to appear).Google Scholar
4. Farrell, K., Grove, E. A. and Ladas, G., Neutral differential equations with positive and negative coefficients, Appl. Anal. 27 (1988) 181–197.Google Scholar
5. Kulenovic, M. R. S., Ladas, G. and Sficas, Y. G., Comparision results for oscillations of delay equations, Annal. Mat. Pura Appl. CLVI (1990) 1–14.Google Scholar
6. Ladas, G. and Sficas, Y., Oscillations of delay differential equations with positive and negative coefficients, Proceedings of the International Conference on qualitative theory of differential equations held at the University of Alberta, Canada, June 18-20, 1984.Google Scholar
7. Ladas, G. and Sficas, Y. G., Asymptotic behavior of oscillatory solutions, Hiroshima Math. J. 18 (1988) 351–359.Google Scholar
8. Ladde, G., Lakshmikantham, V. and Zhang, B. G., Oscillation theory of differential equations with deviating arguments, Marcel Dekker, Inc. New York, (1987).Google Scholar