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Oscillations of delay differential equations

Published online by Cambridge University Press:  17 February 2009

K. Gopalsamy  and
G. Ladas
K. Gopalsamy
Affiliation:
School of Mathematics, Flinders University, Bedford Park, S. A. 5042.
G. Ladas
Affiliation:
Department of Mathematics, University of Rhode Island, Kingston, R. I., U.S.A.
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Abstract

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Sufficient conditions are established for all solutions of the linear system

to be oscillatory, where qij ∈(−∞, ∞), τij ∈ (0, ∞), i, j = 1, 2, …, n.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 4 , April 1991 , pp. 377 - 381
Copyright
Copyright © Australian Mathematical Society 1991

References

[1] Barbalat, I., “Systemes d'equations differentielles d'oscillations nonlineaires,” Rev. Roumain. Math. Pures Appl. 4 (1959) 267–270.Google Scholar
[2] Gopalsamy, K., “Oscillatory properties of systems of first order delay differential inequalities,” Pacific J. Math. 128 (1987) 299–305.Google Scholar
[3] Ladas, G. and Stavroulakis, I. P., “On delay differential inequalities of first order,” Funk-cialaj Ekvacioj. 25 (1982) 105–113.Google Scholar