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The oscillatory behavior of a second order nonlinear differential equation with damping. (English) Zbl 0348.34022


MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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[1] Atkinson, F. V., On second order nonlinear oscillation, Pacific J. Math., 5, 643-647 (1955) · Zbl 0065.32001
[2] Baker, J. W., Oscillation theorems for a second order damped nonlinear differential equation, SIAM J. Appl. Math., 25, 37-40 (1973) · Zbl 0239.34015
[3] Butler, G. J., On the oscillatory behaviour of a second order nonlinear differential equation, Ann. Mat. Pura Appl., 105, 73-92 (1975) · Zbl 0307.34029
[4] Butler, G. J., Oscillation theorems for a nonlinear analogue of Hill’s equation, Quart. J. Math., 27, 159-171 (1976) · Zbl 0341.34018
[5] Coles, W. J., Oscillation criteria for nonlinear second order equations, Ann. Mat. Pura Appl., 82, 123-134 (1969) · Zbl 0188.15304
[6] Erbe, L., Oscillation criteria for second order nonlinear differential equations, Ann. Mat. Pura Appl., 94, 257-268 (1972) · Zbl 0296.34026
[7] Kamenev, I. V., On the oscillation of solutions of a nonlinear equation of second order, (Moskov. Inst. Elektron Masinostroenija, Trudy MIEM, 5 (1969)), 125-136, (Russian) · Zbl 0408.34031
[8] Kusano, T.; Onose, H.; Hiroyuki, T., On the oscillation of second order nonlinear ordinary differential equations, Hiroshima Math. J., 4, 491-499 (1974) · Zbl 0326.34044
[9] Naito, M., Oscillation criteria for a second order differential equation with a damping term, Hiroshima Math. J., 4, 285-291 (1974) · Zbl 0289.34047
[10] Waltman, P., An oscillation theorem for a nonlinear second order equation, J. Math. Anal. Appl., 10, 439-441 (1965) · Zbl 0131.08902
[11] Wong, J. S.W, On second order nonlinear oscillation, Funkcial. Ekvac., 11, 207-234 (1968) · Zbl 0157.14802
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