Asymptotic behavior of intermediate solutions of fourth-order nonlinear differential equations with regularly varying coefficients

We study the fourth-order nonlinear differential equation $$ \big(p(t)|x''(t)|^{\alpha-1} x''(t)\big)''+q(t)|x(t)|^{\beta-1}x(t)=0,\quad \alpha>\beta, $$ with regularly varying coefficient $p,q$ satisfying $$ \int_a^\infty t\Big(\frac{t}{p(t)}\Big)^{1/\alpha}\...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Authors:	Aleksandra Trajkovic, Jelena V. Manojlovic
Format:	Article
Language:	English
Published:	Texas State University 2016-06-01
Subjects:	Fourth order differential equation asymptotic behavior of solutions positive solution, regularly varying solution, slowly varying solution
Online Access:	http://ejde.math.txstate.edu/Volumes/2016/129/abstr.html