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Oscillatory behavior of nonlinear differential equations with deviating arguments

Published online by Cambridge University Press:  17 April 2009

S.R. Grace
Affiliation:
Faculty of Engineering, Cairo University, Cairo, Egypt;
B.S. Lalli
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan S7N OWO, Canada.
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Abstract

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New oscillation criteria for nonlinear differential equations with deviating arguments of the form

n even, are established.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Grace, S.R. and Lalli, B.S., “Oscillation theorems for nth order nonlinear functional differential equations”, J. Math. Anal. Appl. 94 (1983), 509524.CrossRefGoogle Scholar
[2]Grace, S.R. and Lalli, B.S., “An oscillation criterion for nth order nonlinear differential equations with functional arguments”, Canad. Math. Bull. 26 (1983), 3540.CrossRefGoogle Scholar
[3]Grace, S.R. and Lalli, B.S., “Oscillatory and asymptotic behavior of solutions of differential equations with deviating arguments”, J. Math. Anal. Appl. (to appear).Google Scholar
[4]Kamenev, I.V., “An integral criterion for oscillation of linear differential equations of second order”, Mat. Zametki 23 (1978), 249251.Google Scholar
[5]Lovelady, D.L., “On oscillatory behavior of bounded solutions of higher order differential equations”, J. Differential Equations 19 (1975), 167175.CrossRefGoogle Scholar
[6]Philos, Ch. G.,“On a Kamenev's integral criterion for oscillation of linear differential equations of second order”, Utilitas Math. 24 (1983), 277289.Google Scholar
[7]Philos, Ch.G., “Oscillation of second order linear ordinary differential equations with alternating coefficients”, Bull. Austral. Math. Soc. 27 (1983), 307313.CrossRefGoogle Scholar
[8]Wintner, A., “A criterion of oscillatory stability”, Quart. Appl. Math. 7 (1949), 115117.CrossRefGoogle Scholar
[9]Yeh, C.C., “An oscillation criterion for second order nonlinear differential equations with functional arguments”, J. Math. Anal. Appl. 76 (1980), 7276.CrossRefGoogle Scholar
[10]Yeh, C.C., “Oscillation theorems for nonlinear second order differential equations with damped term”, Proc. Amer. Math. Soc. 84 (1982), 397402.CrossRefGoogle Scholar