A note on: “The asymptotic behavior of a class of nonlinear differential equations of second order” [Proc. Amer. Math. Soc. 84 (1982), no. 2, 235–236; MR0637175 (83d:34062)] by J. C. Tong

Meng, Fan Wei

doi:10.1090/S0002-9939-1990-0993758-8

A note on: ``The asymptotic behavior of a class of nonlinear differential equations of second order'' [Proc. Amer. Math. Soc. 84 (1982), no. 2, 235-236; MR0637175 (83d:34062)] by J. C. Tong

Author: Fan Wei Meng
Journal: Proc. Amer. Math. Soc. 108 (1990), 383-386
MSC: Primary 34C11
DOI: https://doi.org/10.1090/S0002-9939-1990-0993758-8
Original Article: Proc. Amer. Math. Soc. 84 (1982), 235-236.
MathSciNet review: 993758
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we point out an error in paper [2] and study the asymptotic behavior of the differential equation

$\displaystyle {L_n}x + f\left( {t,x} \right) = r\left( t \right).$

The results obtained are extensions of some of the results of [2].

[1] I. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 81–94 (English, with Russian summary). MR 79154, https://doi.org/10.1007/BF02022967
[2] Jing Cheng Tong, The asymptotic behavior of a class of nonlinear differential equations of second order, Proc. Amer. Math. Soc. 84 (1982), no. 2, 235–236. MR 637175, https://doi.org/10.1090/S0002-9939-1982-0637175-4