Remarks on the oscillation of nonlinear third-order noncanonical delay differential equations

This paper presents new criteria for the oscillation of all solutions of the third-order nonlinear delay differential equations with noncanonical operators. Our approach to establishing new criteria essentially simplifies and refines the main results obtained in Džurina and Jadlovská (2018) and Grac...

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Bibliographic Details
Published in:Applied mathematics and computation 2024-11, Vol.481, p.128950, Article 128950
Main Authors: Prabaharan, Natarajan, Madhan, Mayakrishnan, Thandapani, Ethiraju, Tunç, Ercan
Format: Article
Language:English
Subjects:
Delay
Noncanonical operators
Nonlinear
Oscillation
Third-order
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Summary:This paper presents new criteria for the oscillation of all solutions of the third-order nonlinear delay differential equations with noncanonical operators. Our approach to establishing new criteria essentially simplifies and refines the main results obtained in Džurina and Jadlovská (2018) and Grace et al. (2019). Examples illustrating the importance of our results are presented. •This paper presents new criteria for the oscillation of all solutions of the third-order nonlinear delay differential equations with noncanonical operators. We first transform the studied nonlinear noncanonical third-order delay differential equation into semi-canonical type. This approach simplifies the examination of the considered equation. Moreover, our approach to establishing new criteria substantially improves and extends some known results in the relevant literature.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2024.128950