Preprint Article Version 1 This version is not peer-reviewed

Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform

Version 1 : Received: 29 August 2024 / Approved: 29 August 2024 / Online: 29 August 2024 (15:20:43 CEST)

How to cite: Chandrasekaran, E.; Chatzarakis, G.; Sakthivel, R.; Thandapani, E. Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform. Preprints 2024, 2024082187. https://doi.org/10.20944/preprints202408.2187.v1 Chandrasekaran, E.; Chatzarakis, G.; Sakthivel, R.; Thandapani, E. Third-Order Nonlinear Semi-Canonical Functional Differential Equations: Oscillation via New Canonical Transform. Preprints 2024, 2024082187. https://doi.org/10.20944/preprints202408.2187.v1

Abstract

This paper focuses on the oscillatory properties of the semi-canonical nonlinear delay differential equation of third-order (δ₂(t)(δ₁(t)ζ′(t))′)^{′α}(τ(t))=0, t≥t₀, under the conditions ∫_{t₀}^{∞}(1/(δ₂(t)))dt=∞ and ∫_{t₀}^{∞}(1/(δ₁(t)))dt

Keywords

third-order; semi canonical; functional difference equation; oscillation

Subject

Computer Science and Mathematics, Applied Mathematics

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