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Research Article | Open Access

Property A ¯ of third-order noncanonical functional differential equations with positive and negative terms

S. Sangeetha1, S. K. Thamilvanan1( ), S. S. Santra2,3( ), S. Noeiaghdam4( ), M. Abdollahzadeh5
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, Tamilnadu, India
Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India
Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk 454080, Russia
School of Information Technology and Data Science, Irkutsk National Research Technical University, Irkutsk 664074, Russia
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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

( p 2 ( t ) ( p 1 ( t ) x ′ ( t ) ) ′ ) ′ + a ( t ) g ( x ( τ ( t ) ) ) − b ( t ) h ( x ( σ ( t ) ) = 0

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 A ¯ . We furnished illustrative examples to validate our main result.

Keywords

Property Āthird-Ordernoncanonicaldelay argument
CLC number: 34C10, 34K11

References

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 14167-14179
DOI: 10.3934/math.2023724

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Cite this article:
Sangeetha S, Thamilvanan SK, Santra SS, et al. Property A ¯ of third-order noncanonical functional differential equations with positive and negative terms. AIMS Mathematics, 2023, 8(6): 14167-14179. https://doi.org/10.3934/math.2023724

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Received: 03 January 2023
Revised: 28 February 2023
Accepted: 14 March 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)