Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms-Reference-Cited by-同舟云学术

Property $ \bar{A} $ of third-order noncanonical functional differential equations with positive and negative terms

Published:2023 Issue:6 Volume:8 Page:14167-14179
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sangeetha S.¹,Thamilvanan S. K.¹,Santra S. S.²³,Noeiaghdam S.⁴,Abdollahzadeh M.⁵

Affiliation:

1. Department of Mathematics, SRM University, Kattankulathur 603203, Tamilnadu, India

2. Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India

3. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India

4. Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk 454080, Russia

5. School of Information Technology and Data Science, Irkutsk National Research Technical University, Irkutsk 664074, Russia

Abstract

<abstract>In this article, we have derived a new method to study the oscillatory and asymptotic properties for third-order noncanonical functional differential equations with both positive and negative terms of the form <disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} (p_2 (t)(p_1 (t) x'(t) )')'+a(t)g(x(\tau(t)))-b(t)h(x(\sigma(t)) = 0 \end{equation*} $\end{document} </tex-math></disp-formula> Firstly, we have converted the above equation of noncanonical type into the canonical type using the strongly noncanonical operator and obtained some new conditions for Property $ \bar{A} $. We furnished illustrative examples to validate our main result.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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