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...
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¶mtipus_ertek=publication¶m_ertek=1444 |
Similar Items
-
Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation
by: Jaroš Jaroslav, et al.
Published: (2013-12-01) -
Precise asymptotic behavior of regularly varying solutions of second order half-linear differential equations
by: Takaŝi Kusano, et al.
Published: (2016-08-01) -
Precise asymptotic behavior of strongly decreasing solutions of first-order nonlinear functional differential equations
by: George E. Chatzarakis, et al.
Published: (2014-10-01) -
Regularly varying solutions with intermediate growth for cyclic differential systems of second order
by: Jaroslav Jaros, et al.
Published: (2016-12-01) -
Strongly increasing solutions of cyclic systems of second order differential equations with power-type nonlinearities
by: Jaroslav Jaroš, et al.
Published: (2015-01-01)