Volume 34, Issue 3
Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter

A.M. Mahmoud & E.S. Farghaly

Ann. Appl. Math., 34 (2018), pp. 285-301.

Published online: 2022-06

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  • Abstract

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.

  • AMS Subject Headings

34C25

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COPYRIGHT: © Global Science Press

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@Article{AAM-34-285, author = {Mahmoud , A.M. and Farghaly , E.S.}, title = {Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {34}, number = {3}, pages = {285--301}, abstract = {

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20578.html} }
TY - JOUR T1 - Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter AU - Mahmoud , A.M. AU - Farghaly , E.S. JO - Annals of Applied Mathematics VL - 3 SP - 285 EP - 301 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20578.html KW - existence of periodic solution, third-order neutral functional differential equation, variable parameter, Mawhin’s continuation theorem, coincidence degree. AB -

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.

Mahmoud , A.M. and Farghaly , E.S.. (2022). Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter. Annals of Applied Mathematics. 34 (3). 285-301. doi:
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