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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)
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[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, (), 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, () · Zbl 0222.34003
[5] Hartman, P, Ordinary differential equations, (1964), Wiley N. Y · Zbl 0125.32102
[6] Ladas, G, Oscillation and asymptotic behavior of solutions of differential equations with retarded argument, J. diff. equations, 10, 281-290, (1971) · Zbl 0203.40602
[7] Ladas, G; Lakshmikantham, V, Oscillations caused by retarded actions, University of rhode island technical report no. 12, (October, 1970)
[8] English translation: A.M.S. Translations, Series 1, Vol. 4, 207-267, Providence, R. I. · Zbl 0035.17801
[9] Norkin, S.B; Norkin, S.B, Differential equations of the second order with retarded arguments, (), (1965), Nauka Moscow, Providence, R. I. · Zbl 0207.39606
[10] Odarič, O.N; S̆evelo, V.N, Some problems in the theory of oscillation of second order differential equations with deviating arguments, Ukranian math. J., 23, 508-516, (1971)
[11] S̆evelo, V.N; Odarič, O.N; S̆evelo, V.N; Odarič, O.N, The nonoscillations of solutions of nonlinear second order differential equations with retarded argument, (), Math. reviews, 268-279, (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)
[14] {\scK. D. Shere}, Nonoscillation of second order linear differential equations with retarded argument, to appear. · Zbl 0253.34034
[15] Travis, Curtis C, Oscillation theorems for second-order differential equations with functional arguments, (), 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] {\scD. W. Willett}, Asymptotic behavior of disconjugate nth order differential equations, to appear. · Zbl 0201.10702
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