TY - JOUR
T1 - On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
AU - Zhuang , Rongkun
AU - Wu , Hongwu
JO - Annals of Applied Mathematics
VL - 4
SP - 429
EP - 438
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20653.html
KW - almost automorphic solutions, neutral delay equation, piecewise constant argument.
AB - <p style="text-align: justify;">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.</p>