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Currently displaying 1 – 5 of 5

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Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations.

Kamo, Ken-ichi; Usami, Hiroyuki — 2007

Electronic Journal of Differential Equations (EJDE) [electronic only]

Positive Solutions of a Class of Second Order Semilinear Elliptic Equations in the Plane.

Takasi Kusano; Hiroyuki Usami — 1984

Mathematische Annalen

A barrier method for quasilinear ordinary differential equations of the curvature type

Toshiaki Kusahara; Hiroyuki Usami — 2000

Czechoslovak Mathematical Journal

Asymptotic forms of solutions of perturbed half-linear ordinary differential equations

Sokea Luey; Hiroyuki Usami — 2021

Archivum Mathematicum

Asymptotic forms of solutions of half-linear ordinary differential equation $(| u^{'} |^{α - 1} u^{'})^{'} = α (1 + b (t)) {| u |}^{α - 1} u$ are investigated under a smallness condition and some signum conditions on $b (t)$ . When $α = 1$ , our results reduce to well-known ones for linear ordinary differential equations.

Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems

Ken-ichi Kamo; Hiroyuki Usami — 2008

Czechoslovak Mathematical Journal

In this paper we consider positive unbounded solutions of second order quasilinear ordinary differential equations. Our objective is to determine the asymptotic forms of unbounded solutions. An application to exterior Dirichlet problems is also given.

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