Asymptotic behavior of positive solutions of odd order Emden-Fowler type differential equations in the framework of regular variation

The asymptotic behavior of solutions of the odd-order differential equation of Emden-Fowler type $$ x^{(2n+1)}(t) + q(t)|x(t)|^{\gamma}\textrm{sgn}\;x(t)=0 , $$ is studied in the framework of regular variation, under the assumptions that $0<\gamma<1$ and $q(t):[a,\infty)\to(0,\infty)$ is regul...

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Bibliographic Details
Main Authors: Takaŝi Kusano, Jelena Manojlović
Format: Article
Language:English
Published: University of Szeged 2012-06-01
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=1444