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Oscillations for first order neutral differential equations with variable coefficients

Published online by Cambridge University Press:  17 April 2009

Shigui Ruan
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, S7N OWO, Canada
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Abstract

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In this paper, sufficient conditions for oscillations of the first order neutral differential equation with variable coefficients

are obtained, where c, τ, σ and µ are positive constants, p, qC ([t0, ∞), R+).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Gopalsamy, K., ‘Oscillations in neutral delay-differential equations’, J. Math. Phys. Sci. 21 (1987), 2334.Google Scholar
[2]Grove, E.A., Kulennovic, M.R.S. and Ladas, G., ‘Sufficient conditions for oscillation and nonoscillation of neutral equations’, J. Differential Equation 68 (1987), 373382.CrossRefGoogle Scholar
[3]Koplatadze, R.G. and Canturia, T.A., ‘On oscillatory and monotonic solutions of first-order differential equations with retarded arguments’, Differensial'nye Uravneniya 8 (1982), 14631465.Google Scholar
[4]Ladas, G. and Sficas, Y.G., ‘Oscillation of neutral delay differential equations’, Canad. Math. Bull. 29 (1986), 438445.CrossRefGoogle Scholar
[5]Ladas, G. and Sficas, Y.G., ‘Asymptotic behaviour of oscillatory solutions’, Hiroshima Math. J. 18 (1988), 351359.CrossRefGoogle Scholar
[6]Liao, L., ‘Oscillatory properties of a class of first order retarded differential equations’, in Ordinary differential equations and control theory proceeding, Editor Deng, Z. et al. , pp. 237244, 1987.Google Scholar