Singular Kneser solutions of higher-order quasilinear ordinary differential equations

In this paper we give a new sufficient condition in order that all nontrivial Kneser solutions of the quasilinear ordinary differential equation \[ D(\alpha_n, \alpha_{n-1}, \dots, \alpha_1)x = (-1)^{n}p(t)|x|^{\beta}\mathrm{sgn}\,x, \quad t \geq a, \tag{1.1} \label{abseq} \] are singular. Here, $D...

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Bibliographic Details
Main Author: Manabu Naito
Format: Article
Language:English
Published: University of Szeged 2021-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8853