Global attractivity for nonlinear differential equations with a nonlocal term

In this article we analyze the dynamics of the problem $$\displaylines{ x'(t)=-(\delta+\beta(x(t)))x(t)+\theta\int_{0}^{\tau}f(a)x(t-a)\beta(x(t-a))da, \quad t> \tau, \cr x(t)=\phi(t),\quad 0 \leq t\leq \tau, }$$ where $\delta,\theta$ are positive constants, and $\beta, \phi, f$...

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Bibliographic Details
Main Authors: Boumediene Abdellaoui, Tarik Mohamed Touaoula
Format: Article
Language:English
Published: Texas State University 2014-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/177/abstr.html