Oscillation of Noncanonical Neutral-Type Delay Differential Equations

The present paper is devoted to the study of oscillation phenomena in a class of second-order nonlinear neutral delay differential equations. We focus on the less studied noncanonical case. By applying a suitable transformation, the problem is transformed into a canonical form, yielding new oscillation criteria. The new results improve the existing oscillation criteria for noncanonical neutral-type delay differential equations. Examples are included to demonstrate the effectiveness of the obtained criteria and to highlight the importance of the results.

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Publication Details

Journal
Mathematics
Published
2026-11-04
DOI
https://doi.org/10.3390/math14214026
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Oscillation of Noncanonical Neutral-Type Delay Differential Equations

Zeynep Nilhan Gürkan, T. Candan, Ağacık Zafer
Mathematics
Nonlinear Differential Equations Analysis
article

Oscillation of Noncanonical Neutral-Type Delay Differential Equations

Zeynep Nilhan Gürkan, T. Candan, Ağacık Zafer
article en

Abstract

The present paper is devoted to the study of oscillation phenomena in a class of second-order nonlinear neutral delay differential equations. We focus on the less studied noncanonical case. By applying a suitable transformation, the problem is transformed into a canonical form, yielding new oscillation criteria. The new results improve the existing oscillation criteria for noncanonical neutral-type delay differential equations. Examples are included to demonstrate the effectiveness of the obtained criteria and to highlight the importance of the results.

MathematicsVol. 14(21)
American University of the Middle East (KW)
Openalex Percentile: Top 11%
Nonlinear Differential Equations Analysis
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