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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.; Ševelo, V. N., On the oscillation of solutions of certain systems of differential equations with retarded argument, (Metody Količestvennogo i Kačestvennogo Issledovaniya Differencial’nyh i Integral’nyh Uravnenii (1975)), 20-38, Kiev
[8] Wong, J. S.W, Second order oscillation with retarded arguments, (Weiss, L., Ordinary Differential Equations (1972), Academic Press: Academic Press New York), 581-596
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