Asymptotic behavior of positive solutions of a class of systems of second order nonlinear differential equations

The two-dimensional system of nonlinear differential equations $$ x'' = p(t)y^{\alpha}, \quad y'' = q(t)x^{\beta}\qquad {\textrm{(A)}} $$ with positive exponents $\alpha$ and $\beta$ satisfying $\alpha\beta<1$ is analyzed in the framework of regular variation. Under the assump...

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Bibliographic Details
Main Authors: Jaroslav Jaroš, Takaŝi Kusano
Format: Article
Language:English
Published: University of Szeged 2013-04-01
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=1892