On the asymptotic behavior of solutions of the differential equation $y^{ā}+p(x)y=0$
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- by A. C. Lazer PDF
- Proc. Amer. Math. Soc. 16 (1965), 1295-1298 Request permission
References
- Richard Bellman, Stability theory of differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0061235 L. Cesari, Asymptotic behavior and stability problems in ordinary differential equations, 2nd ed., Springer, Berlin, 1963.
- A. C. Lazer, A stability condition for the differential equation $y^{\prime \prime }+p(x)y=0.$, Michigan Math. J. 12 (1965), 193ā196. MR 176168, DOI 10.1307/mmj/1028999309
- 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
- Giovanni Prodi, Unāosservazione suglāintegrali dellāequazione $y''+A(x)y=0$ nel caso $A(x)\to +\infty$ per $x\to \infty$, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 8 (1950), 462ā464 (Italian). MR 37965
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 1295-1298
- MSC: Primary 34.50
- DOI: https://doi.org/10.1090/S0002-9939-1965-0186867-2
- MathSciNet review: 0186867