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 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.
Authors
- Ganesh Purushothaman (ORCID: https://orcid.org/0000-0002-8709-5588)
- George E. Chatzarakis (ORCID: https://orcid.org/0000-0002-0477-1895)
- Kannan Suresh (ORCID: https://orcid.org/0000-0001-9664-4924)
- E. Thandapani
Institutions
- University of Madras (IN)
- School of Pedagogical and Technological Education (GR)
- St. Joseph's Institute of Technology (IN)
- St. Joseph’s College of Engineering (IN)
Publication Details
- Journal
- Applicable Analysis and Discrete Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/aadm240310008p
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00