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On the oscillation of a class of nonlinear differential systems with deviating argument. (English) Zbl 0417.34107


MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34A34 Nonlinear ordinary differential equations and systems
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
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[1] Gollwitzer, H.E, On nonlinear oscillation for a second order delay equation, J. math. anal. appl., 26, 385-389, (1969) · Zbl 0169.11401
[2] Iziumova, D.V; Mirzov, D.D, On the oscillation and nonoscillation of solutions of nonlinear differential systems, Differencial’nye uravnenija, 12, 1187-1193, (1976), (in Russian)
[3] Kusano, T; Naito, M, Nonlinear oscillation of second order differential equations with retarded argument, Ann. mat. pura appl., 106, 171-185, (1975) · Zbl 0316.34083
[4] Levitan, B.M, Some problems of the theory of almost periodic functions I, Uspehi mat. nauk., 2, 133-192, (1947), (in Russian) · Zbl 0033.11901
[5] Mirzov, D.D, On the oscillation of solutions of a system of nonlinear differential equations, Differencial’nye uravnenija, 9, 581-583, (1973), (in Russian)
[6] Mirzov, D.D, On the question of oscillation of solutions of a system of nonlinear differential equations, Mat. zametki, 16, 571-576, (1974), (in Russian)
[7] Vareh, N.V; Gritsai, A.G; ҆evelo, V.N, On the oscillation of solutions of certain systems of differential equations with retarded argument, (), 20-38, Kiev
[8] Wong, J.S.W, Second order oscillation with retarded arguments, (), 581-596
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