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Peer-reviewedCC BY 4.0Mathematics

Oscillation of Noncanonical Neutral-Type Delay Differential Equations

  • Tuncay Candan1
  • Ağacık Zafer1
  • Zeynep Nilhan Gürkan1
  1. 1College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait
Open at sourceDOICite

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.

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Cite

BibTeXRIS
BibTeX
@article{candan2026oscillation,
  title = {{Oscillation of Noncanonical Neutral-Type Delay Differential Equations}},
  author = {Tuncay Candan and Ağacık Zafer and Zeynep Nilhan Gürkan},
  journal = {Mathematics},
  year = {2026},
  month = nov,
  doi = {10.3390/math14214026},
  url = {https://www.mdpi.com/2227-7390/14/21/4026},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Oscillation of Noncanonical Neutral-Type Delay Differential Equations
AU  - Tuncay Candan
AU  - Ağacık Zafer
AU  - Zeynep Nilhan Gürkan
PY  - 2026
DA  - 2026/11/04
JO  - Mathematics
DO  - 10.3390/math14214026
UR  - https://www.mdpi.com/2227-7390/14/21/4026
AB  - 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.
SN  - 2227-7390
ER  -