Noncanonical fourth-order nonlinear neutral differential equations of Emden-Fowler type: Oscillation via canonical transform

In this paper, we introduce a new technique that transforms the noncanonical neutral differential equation into a canonical type equation and this method greatly reduces the analysis of the studied equation. This approach requires only one condition to eliminate all nonoscillatory solutions to get o...

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Bibliographic Details
Published inApplicable analysis and discrete mathematics p. 8
Main Authors Purushothaman, G., Suresh, K., Chatzarakis, G.E., Thandapani, E.
Format Journal Article
LanguageEnglish
Published 2025
Online AccessGet full text
ISSN1452-8630
2406-100X
DOI10.2298/AADM240310008P

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Summary:In this paper, we introduce a new technique that transforms the noncanonical neutral differential equation into a canonical type equation and this method greatly reduces the analysis of the studied equation. This approach requires only one condition to eliminate all nonoscillatory solutions to get oscillatory criteria for the original equation. The results obtained here are new and a good contribution to the oscillation theory of neutral differential equations. Examples are provided to illustrate the significance of the main results.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM240310008P