On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
Year: 2016
Author: Rongkun Zhuang, Hongwu Wu
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 4 : pp. 429–438
Abstract
We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form $$(x(t) + px(t − 1))′′′ = a_0x([t]) + a_1x([t − 1]) + f(t),$$ where [·] is the greatest integer function, $p,$ $a_0$ and $a_1$ are nonzero constants, and $f(t)$ is almost automorphic.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2016-AAM-20653
Annals of Applied Mathematics, Vol. 32 (2016), Iss. 4 : pp. 429–438
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: almost automorphic solutions neutral delay equation piecewise constant argument.