On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument
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@Article{AAM-32-429,
author = {Zhuang , Rongkun and Wu , Hongwu},
title = {On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {32},
number = {4},
pages = {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.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20653.html} }
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 -
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.
Rongkun Zhuang & Hongwu Wu. (2022). On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument.
Annals of Applied Mathematics. 32 (4).
429-438.
doi:
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