Oscillation theorems for nonlinear second order differential equations.
Author:
H. Onose
Journal:
Proc. Amer. Math. Soc. 26 (1970), 461-464
MSC:
Primary 34.42
DOI:
https://doi.org/10.1090/S0002-9939-1970-0264165-8
MathSciNet review:
0264165
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Abstract | References | Similar Articles | Additional Information
Abstract: Recently, Bobisud, Proc. Amer. Math. Soc. 23 (1969), 501-505, has discussed the oscillatory behavior of solutions of $y'' + a(t)f(y) = 0$. The purpose of this paper is to prove Bobisud’s theorems under weaker assumptions. The proofs are quite different from his and simpler.
- F. V. Atkinson, On second-order non-linear oscillations, Pacific J. Math. 5 (1955), 643–647. MR 72316
- L. E. Bobisud, Oscillation of nonlinear second-order equations, Proc. Amer. Math. Soc. 23 (1969), 501–505. MR 247179, DOI https://doi.org/10.1090/S0002-9939-1969-0247179-5
- A. G. Kartsatos, On oscillation of solutions of even order nonlinear differential equations, J. Differential Equations 6 (1969), 232–237. MR 244563, DOI https://doi.org/10.1016/0022-0396%2869%2990014-X
- Jack W. Macki and James S. W. Wong, Oscillation of solutions to second-order nonlinear differential equations, Pacific J. Math. 24 (1968), 111–117. MR 224908
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Keywords:
Oscillatory,
monotonically to zero
Article copyright:
© Copyright 1970
American Mathematical Society