Research Article

Oscillation results for nonlinear weakly canonical fourth-order delay differential equations via canonical transform

Published in: Quaestiones Mathematicae
Volume 47 , issue 5 , 2024 , pages: 1119–1132

DOI: 10.2989/16073606.2023.2281567

Author(s): Natarajan Prabaharan Engineering College, Kavaraipettai, India , Ethiraju Thandapani University of Madras, India , Ercan Tunç Tokat Gaziosmanpaşa University, Turkey

Keywords: Primary: 34C10 , Secondary: 34K11 , Oscillation , fourth-order , delay term , weakly canonical equations , canonical form

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Abstract

By using canonical transformation technique, we convert the nonlinear weakly canonical fourth-order delay diﬀerential equations into strongly canonical equations. Then we apply oscillation results for canonical equations to get similar results for the studied equation. The significance and novelty of our results are illustrated via numerical examples.

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