Asymptotic dichotomy in a class of higher order nonlinear delay differential equations

Abstract Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation y(n+2)(t)+p(t)y(n)(t)+q(t)f(y(g(t)))=0 $$ y^{(n+2)}(t)+p(t)y^{(n)}(t)+q(t)f\bigl(y\bigl(g(t)\bigr)\bigr)=0 $$ will converge t...

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Bibliographic Details
Main Authors: Yunhua Ye, Haihua Liang
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1949-7