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Bounded oscillations of linear and nonlinear delay-differential equations of even order. (English) Zbl 0282.34027


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)
Full Text: DOI

References:

[1] Bradley, J. S., Oscillation theorems for a second order delay equation, J. Diff. Equations, 8, 397-403 (1970) · Zbl 0212.12102
[2] Coles, W. J.; Schmitt, K., Oscillation theorems for functional differential equations, (A note on oscillatory properties of functional differential equations (1970), The University of Utah), preprint
[3] Gollwitzer, H. E., On nonlinear oscillations for a second order delay equation, J. Math. Anal. Appl., 26, 385-389 (1969) · Zbl 0169.11401
[4] Hale, J., Functional differential equations, (Applied Mathematical Sciences, Vol. 3 (1971), Springer-Verlag: Springer-Verlag N. Y) · Zbl 0222.34003
[5] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley N. Y · Zbl 0125.32102
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[8] English translation: A.M.S. Translations; English translation: A.M.S. Translations · Zbl 0035.17801
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[11] S̆evelo, V. N.; Odarič, O. N., Math. Reviews (1971-1972), English summary to appear in
[12] Staikos, 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
[13] Staikos, V. A., Oscillatory property of a certain delay-differential equation, Bull. Soc. Math. Grèce, 11, 1-5 (1970) · Zbl 0225.34039
[14] K. D. Shere; K. D. Shere · Zbl 0253.34034
[15] Travis, Curtis C., Oscillation theorems for second-order differential equations with functional arguments, (Proc. Amer. Math. Soc. (1970)), to appear · Zbl 0235.34141
[16] Waltman, P., A note on an oscillation criterion for an equation with a functional argument, Canad. Math. Bull., 11, 593-595 (1968) · Zbl 0186.42205
[17] D. W. Willett\(n\); D. W. Willett\(n\) · Zbl 0201.10702
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