Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm240310008p

Authors: G. Purushothaman, K. Suresh, G.E. Chatzarakis, E. Thandapani

Institutions: St. Joseph’s College of Engineering, School of Pedagogical and Technological Education, University of Madras

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409306779

FWCI: 1.923

Cites: 1

Cited by: 1

Related to: 10