Electron. J. Diff. Eqns., Vol. 2000(2000), No. 25, pp. 1-14.

A classification scheme for positive solutions of second order nonlinear iterative differential equations

Xianling Fan, Wan-Tong Li, & Chengkui Zhong

Abstract:
This article presents a classification scheme for eventually-positive solutions of second-order nonlinear iterative differential equations, in terms of their asymptotic magnitudes. Necessary and sufficient conditions for the existence of solutions are also provided.

Submitted December 11, 1999. Published March 31, 2000.
Math Subject Classifications: 34K15.
Key Words: Nonlinear iterative differential equation, oscillation, eventually positive, asymptotic behavior.

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Wan-Tong Li
Department of Mathematics, Lanzhou University
Lanzhou, Gansu, 730000, People's Republic of China
e-mail: liwt@gsut.edu.cn
Xianling Fan, & Chengkui Zhong
Department of Mathematics, Lanzhou University
Lanzhou, Gansu, 730000, People's Republic of China

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