eriodicity and stability in neutral nonlinear differential equations with functional delay

We study the existence and uniqueness of periodic solutions and the stability of the zero solution of the nonlinear neutral differential equation $$ frac{d}{dt}x(t) = -a(t)x(t)+ frac{d}{dt}Q(t, x(t-g(t))) +G(t,x(t), x(t-g(t))). $$ In the process we use integrating factors and convert the gi...

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Bibliographic Details
Main Authors: oussef M. Dib, Mariette R. Maroun, Youssef N. Raffoul
Format: Article
Language:English
Published: Texas State University 2005-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/142/abstr.html