Oscillation theorems for nonlinear second order differential equations with damped term
HTML articles powered by AMS MathViewer
- by Cheh Chih Yeh PDF
- Proc. Amer. Math. Soc. 84 (1982), 397-402 Request permission
Abstract:
Some new integral criteria for the oscillation of the nonlinear second order differential equation with damped term $y''(t) + p(t)y’(t) + q(t)f(y(t)) = 0$ are given.References
- F. V. Atkinson, On second-order non-linear oscillations, Pacific J. Math. 5 (1955), 643–647. MR 72316
- John W. Baker, Oscillation theorems for a second order damped nonlinear differential equation, SIAM J. Appl. Math. 25 (1973), 37–40. MR 318579, DOI 10.1137/0125007
- L. E. Bobisud, Oscillation of solutions of damped nonlinear equations, SIAM J. Appl. Math. 19 (1970), 601–606. MR 271462, DOI 10.1137/0119059
- G. J. Butler, The oscillatory behavior of a second order nonlinear differential equation with damping, J. Math. Anal. Appl. 57 (1977), no. 2, 273–289. MR 450673, DOI 10.1016/0022-247X(77)90260-8
- Philip Hartman, On non-oscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389–400. MR 48667, DOI 10.2307/2372004
- I. V. Kamenev, An integral test for conjugacy for second order linear differential equations, Mat. Zametki 23 (1978), no. 2, 249–251 (Russian). MR 486798
- G. G. Legatos and A. G. Kartsatos, Furthur results on oscillation of solutions of second order equations, Math. Japon. 14 (1969), 67–73. MR 255910
- Manabu Naito, Oscillation criteria for a second order differential equation with a damping term, Hiroshima Math. J. 4 (1974), 285–291. MR 348187
- L. Pintér, Oscillatory properties of certain second order differential equations, Differential equations (Colloq., Keszthely, 1974) Colloq. Math. Soc. János Bolyai, Vol. 15, North-Holland, Amsterdam, 1977, pp. 347–354. MR 0481267
- Curtis C. Travis, A note on second order nonlinear oscillation, Math. Japon. 18 (1973), 261–264. MR 344594
- P. Waltman, Oscillation of solutions of a nonlinear equation, SIAM Rev. 5 (1963), 128–130. MR 152706, DOI 10.1137/1005032
- Aurel Wintner, A criterion of oscillatory stability, Quart. Appl. Math. 7 (1949), 115–117. MR 28499, DOI 10.1090/S0033-569X-1949-28499-6
- Cheh Chih Yeh, An oscillation criterion for second order nonlinear differential equations with functional arguments, J. Math. Anal. Appl. 76 (1980), no. 1, 72–76. MR 586644, DOI 10.1016/0022-247X(80)90059-1
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 397-402
- MSC: Primary 34C15; Secondary 34C28
- DOI: https://doi.org/10.1090/S0002-9939-1982-0640240-9
- MathSciNet review: 640240