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Oscillatory and asymptotic behavior of second and third order retarded differential equations. (English) Zbl 0507.34062

MSC:
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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References:
[1] E. Hille: Non-oscillation theorems. Trans. Amer. Math. Soc. 64 (1948), 234-252. · Zbl 0031.35402
[2] D. L. Lovelady: Oscillation and a linear second order delay differential equation. to appear.
[3] Ch. G. Philos: Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments. Hiroshima Math. J. 8 (1978), 31-48. · Zbl 0378.34055
[4] Ch. G. Philos: On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments. Ann. Mat. Pure Appl. 119 (1979), 25 - 40. · Zbl 0414.34075
[5] Ch. G. Philos: Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments. Arch. Math. (Brno) 15 (1979), 19-36. · Zbl 0435.34059
[6] Ch. G. Philos Y. G. Sficas V. A. Staikos: Some results on the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments. J. Austral. Math. Soc. 32 (1982). · Zbl 0499.34053
[7] Y. G. Sficas: On the behavior of nonoscillatory solutions of differential equations with deviating argument. Nonlinear Anal. 3 (1979), 379-394. · Zbl 0417.34106
[8] C. A. Swanson: Comparison and Oscillation Theory of Linear Differential Equations. Academic Press, New York, 1968. · Zbl 0191.09904
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