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Coles, W. J.

Oscillation criteria for non-linear second order equations. (English) Zbl 0188.15304

Ann. Mat. Pura Appl., IV. Ser. 82, 123-133 (1969).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 3 Reviews
Cited in 19 Documents

Keywords:

ordinary differential equations
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References:

[1] Atkinson, F. V., On second-order nonlinear oscillations, Pac. J. Math., 5, 643-647 (1955) · Zbl 0065.32001
[2] Bhatia, N. P., Some oscillation theorems for second order differential equations, Jour. Math. Anal. Appl., 15, 442-446 (1966) · Zbl 0144.11104 · doi:10.1016/0022-247X(66)90102-8
[3] Fite, W. B., Concerning the zeros of the solutions of certain differential equations, Trans. Amer. Math Soc., 19, 341-352 (1918) · JFM 46.0702.02 · doi:10.2307/1988973
[4] Jack W. Macki,Two examples in the theory of oscillations, Research Preprint, Dept. of Math. Univ. of Alberta, Ser. A, vol. 4, no 38. · Zbl 0332.34039
[5] Macki, Jack W.; Wong, J. S. W., Oscillation of solutions to second-order nonlinear differential equations, Pac. J. Math., 24, 111-117 (1968) · Zbl 0165.42402
[6] Tomastik, E. C., Oscillations of a nonlinear second order differential equation, SIAM J., 15, 1275-1277 (1967) · Zbl 0162.39703
[7] Waltman, P., Oscillation of solutions of a nonlinear equation, SIAM Review, 5, 128-130 (1963) · Zbl 0137.28402 · doi:10.1137/1005032
[8] Waltman, P., An oscillation criterion for a nonlinear second order equation, Jour. Math. Anal. Appl., 10, 439-441 (1965) · Zbl 0131.08902 · doi:10.1016/0022-247X(65)90138-1
[9] Wintner, A., A criterion of oscillatory stability, Quart. Appl. Math., 7, 115-117 (1949) · Zbl 0032.34801
[10] Wong, J. S. W., A note on second order nonlinear oscillations, SIAM Review, 10, 88-91 (1968) · Zbl 0157.14802 · doi:10.1137/1010007
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