Kneser Solutions of Higher-Order Quasilinear Ordinary Differential Equations

Kneser Solutions of Higher-Order Quasilinear Ordinary Differential Equations

In this paper we discuss the existence and asymptotic behavior of Kneser solutions of nth-order two term quasilinear ordinary differential equations which are generalizations of the Emden-Fowler equation. It will be shown that there is a simple and significant difference between the super-homogeneou...

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Veröffentlicht in:Funkcialaj Ekvacioj 2022/04/15, Vol.65(1), pp.1-33
Hauptverfasser: Naito, Manabu, Usami, Hiroyuki
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Differential equations
Kneser solution
Mathematical analysis
Quasilinear ordinary differential equation
Singular solution
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Zusammenfassung:In this paper we discuss the existence and asymptotic behavior of Kneser solutions of nth-order two term quasilinear ordinary differential equations which are generalizations of the Emden-Fowler equation. It will be shown that there is a simple and significant difference between the super-homogeneous case and the sub-homogeneous case for the existence and asymptotic behavior of Kneser solutions of these equations.
ISSN:0532-8721
DOI:10.1619/fesi.65.1