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Nonlinear oscillation of fourth order functional differential equations. (English) Zbl 0412.34067
MSC:
34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems, general theory
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[1] Atkinson, F. V., On second-order non-linear oscillations, Pacific J. Math., 5, 643-647 (1955) · Zbl 0065.32001
[2] Coffman, C. V.; Wong, J. S. W., Oscillation and nonoscillation theorems for second order ordinary differential equations, Funkcial. Ekvac., 15, 119-130 (1972) · Zbl 0287.34024
[3] Kiguradze, I. T., On the oscillation of solutions of the equation d^mu/dt^m+a(t)⊢u|^n sgnu=0, Mat. Sb., 65, 172-187 (1964)
[4] Kusano, T.; Naito, M., Nonlinear oscillation of fourth order differential equations, Canad. J. Math., 28, 840-852 (1976) · Zbl 0432.34022
[5] T. Kusano - M. Naito,Nonlinear oscillation of fourth order differential equations with deviating argument, Rev. Roumaine Math. Pures Appl. (to appear). · Zbl 0417.34105
[6] Leighton, W.; Nehari, Z., On the oscillation of solutions of selfadjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc., 89, 325-377 (1958) · Zbl 0084.08104
[7] Levitan, B. M., Some problems of the theory of almost periodic functions I, Uspehi Mat. Nauk, 2-5, 133-192 (1947) · Zbl 0033.11901
[8] Ličko, L.; Švec, M., Le caractere oscillatoire des solutions de l’equation y^(n)+f(t)y^α=0,n>1, Czechoslovak Math. J., 13, 481-491 (1963) · Zbl 0123.28202
[9] D. L. Lovelady,An oscillation criterion for a fourth order inegrally superlinear differential equation, Math. Systems Theory (to appear). · Zbl 0348.34026
[10] Macki, J. W.; Wong, J. S. W., Oscillation of solutions to second-order nonlinear differential equations, Pacific J. Math., 24, 111-117 (1968) · Zbl 0165.42402
[11] Nehari, Z., On a class of nonlinear second-order differential equations, Trans. Amer. Math. Soc., 95, 101-123 (1960) · Zbl 0097.29501
[12] Onose, H., Oscillatory properties of ordinary differential equations of arbitrary order, J. Differential Equations, 7, 454-458 (1970) · Zbl 0215.14902
[13] Onose, H., Oscillation and nonoscillation of delay differential equations, Annali di Matematica pura ed applicata, 107, 159-168 (1975) · Zbl 0346.34054
[14] R. Reissig - G. Sansone - R. Conti,Nonlinear differential equations of higher order, Noordhoff international publishing (1974). · Zbl 0275.34001
[15] Ryder, G. H.; Wend, D. V. V., Oscillation of solutions of certain ordinary differential equations of n-th order, Proc. Amer. Math. Soc., 25, 463-469 (1970) · Zbl 0201.12102
[16] Staikos, V. A.; Sficas, Y. G., Criteria for asymptotic and oscillatory character of functional differential equations of arbitrary order, Bollettino U.M.I., 6, 185-192 (1972) · Zbl 0274.34071
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