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On the asymptotic behavior of solutions of the differential equation $ y\sp{''}+p(x)y=0$


Author: A. C. Lazer
Journal: Proc. Amer. Math. Soc. 16 (1965), 1295-1298
MSC: Primary 34.50
MathSciNet review: 0186867
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  • [1] Richard Bellman, Stability theory of differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. MR 0061235
  • [2] L. Cesari, Asymptotic behavior and stability problems in ordinary differential equations, 2nd ed., Springer, Berlin, 1963.
  • [3] A. C. Lazer, A stability condition for the differential equation 𝑦′′+𝑝(𝑥)𝑦=0., Michigan Math. J. 12 (1965), 193–196. MR 0176168
  • [4] I. P. Natanson, Theory of functions of a real variable, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron with the collaboration of Edwin Hewitt. MR 0067952
  • [5] Giovanni Prodi, Un’osservazione sugl’integrali dell’equazione 𝑦”+𝐴(𝑥)𝑦=0 nel caso 𝐴(𝑥)→+∞ per 𝑥→∞, Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 8 (1950), 462–464 (Italian). MR 0037965

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DOI: https://doi.org/10.1090/S0002-9939-1965-0186867-2
Article copyright: © Copyright 1965 American Mathematical Society