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Volume 4, Issue 3
A Study on Oscillatory and Asymptotic Nature of Impulsive Neutral Differential Equations of Order Three

Abdur Raheem, Asma Afreen & Areefa Khatoon

DOI: 10.12150/jnma.2022.475

J. Nonl. Mod. Anal., 4 (2022), pp. 475-487.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we consider a class of third-order neutral impulsive differential equations. An equivalent class of neutral differential equations is obtained by using a suitable substitution. Some new oscillation results are proved. Moreover, we discuss the asymptotic behavior of the solution. The results presented here are illustrated via examples.

  • Keywords

Neutral differential equations, Impulsive conditions, Oscillation criteria, Asymptotic behavior.

  • AMS Subject Headings

34K11, 34K40, 34G10, 34G45, 35R12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-4-475, author = {Raheem , AbdurAfreen , Asma and Khatoon , Areefa}, title = {A Study on Oscillatory and Asymptotic Nature of Impulsive Neutral Differential Equations of Order Three}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {3}, pages = {475--487}, abstract = {

In this paper, we consider a class of third-order neutral impulsive differential equations. An equivalent class of neutral differential equations is obtained by using a suitable substitution. Some new oscillation results are proved. Moreover, we discuss the asymptotic behavior of the solution. The results presented here are illustrated via examples.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.475}, url = {http://global-sci.org/intro/article_detail/jnma/20719.html} }
TY - JOUR T1 - A Study on Oscillatory and Asymptotic Nature of Impulsive Neutral Differential Equations of Order Three AU - Raheem , Abdur AU - Afreen , Asma AU - Khatoon , Areefa JO - Journal of Nonlinear Modeling and Analysis VL - 3 SP - 475 EP - 487 PY - 2022 DA - 2022/06 SN - 4 DO - http://doi.org/10.12150/jnma.2022.475 UR - https://global-sci.org/intro/article_detail/jnma/20719.html KW - Neutral differential equations, Impulsive conditions, Oscillation criteria, Asymptotic behavior. AB -

In this paper, we consider a class of third-order neutral impulsive differential equations. An equivalent class of neutral differential equations is obtained by using a suitable substitution. Some new oscillation results are proved. Moreover, we discuss the asymptotic behavior of the solution. The results presented here are illustrated via examples.

Abdur Raheem, Asma Afreen & Areefa Khatoon. (2022). A Study on Oscillatory and Asymptotic Nature of Impulsive Neutral Differential Equations of Order Three. Journal of Nonlinear Modeling and Analysis. 4 (3). 475-487. doi:10.12150/jnma.2022.475
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