Volume 32, Issue 4
On Almost Automorphic Solutions of Third-Order Neutral Delay-Differential Equations with Piecewise Constant Argument

Rongkun Zhuang & Hongwu Wu

Ann. Appl. Math., 32 (2016), pp. 429-438.

Published online: 2022-06

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  • 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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@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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