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On oscillatory solutions of second order delay differential inequalities. (English) Zbl 0255.34069


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34A40 Differential inequalities involving functions of a single real variable
Full Text: DOI

References:

[1] Atkinson, F. V., On second order non-linear oscillations, Pacific J. Math., 5, 643-647 (1955) · Zbl 0065.32001
[2] Bellman, R., Stability Theory of Differential Equations, Izd. Inostr. Lit. (1954), Moscow · Zbl 0056.36501
[3] Golwitzer, H. E., On nonlinear oscillations for a second order delay equation, J. Math. Anal. Appl., 26, 385-389 (1969) · Zbl 0169.11401
[4] Isjumova, D. V., On condition of oscillation and non-oscillation of second order nonlinear differential equations, Differentsial’nye Uravneniya, 2, 1572-1585 (1966)
[5] Kiguradze, I. T., On oscillations of solutions of nonlinear ordinary differential equations, (Proceedings of the Fifth International Conference of Nonlinear Oscillations, V. 1 (1970)), 293-298, Kiev · Zbl 0241.34041
[6] Mishkis, A. D., Linear Delay Differential Equations, Gostekhizdat (1951), Moscow-Leningrad · Zbl 0043.30904
[7] Norkin, S. B., Second Order Delay Differential Equations, Nauka (1965), Moscow · Zbl 0219.34051
[8] Odarich, O. N.; Shevelo, V. N., Criteria of oscillation (non-oscillation) of solutions of the nonlinear second order differential equations with time lag, (Proceedings of the Fifth International Conference of Nonlinear Oscillations, V. 2 (1970)), 377-380, Kiev · Zbl 0268.34041
[9] Staicos, V. A.; Petsoulas, A. G., Some oscillation criteria for second order nonlinear delay differential equations, J. Math. Anal. Appl., 30, 695-701 (1970) · Zbl 0193.06303
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