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Non-oscillatory phenomena and damped oscillations. (English) Zbl 0378.34057


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
70J30 Free motions in linear vibration theory
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References:

[1] Coppel, W. A., Disconjugacy, (Lecture Notes in Mathematics, 220 (1971), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0224.34003
[2] Kusano, T.; Onose, H., Asymptotic behavior of nonoscillatory solutions of functional equations of arbitrary order, J. London math. Soc., 14, 106-112 (1976) · Zbl 0378.34056
[3] Kusano, T.; Onose, H., Nonoscillation theorems for differential equations with deviating argument, Pacif. J. Math., 185-192 (1976) · Zbl 0342.34058
[4] Staikos, V. A.; Philos, Ch. G., On the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments, Hiroshima Math. J., 7, 9-31 (1977) · Zbl 0354.34076
[5] StaikosPhilosChPacif. J. Math.; StaikosPhilosChPacif. J. Math.
[6] Trench, W. F., Oscillation properties of perturbed disconjugate equations, Proc. Am. math. Soc., 52, 147-155 (1975) · Zbl 0321.34027
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