Dergiler / Constructive Mathematical Analysis / 2026 / Volume: 5 Issue: 1

Oscillation of noncanonical second-order advanced differential equations via canonical transform

Sayfa
—
Yayın Tarihi
2022-03-14
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We illustrate our results by presenting two examples.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we develop a new technique to deduce oscillation of a second-order noncanonical advanced differential equation by using established criteria for second-order canonical advanced differential equations.
📊
Temel Bulgular & Veri:In this paper, we develop a new technique to deduce oscillation of a second-order noncanonical advanced differential equation by using established criteria for second-order canonical advanced differential equations.
💡
Sonuç & Katkı:We illustrate our results by presenting two examples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Advanced differential equation · canonical transform · second-order

Abstract

In this paper, we develop a new technique to deduce oscillation of a second-order noncanonical advanced differential equation by using established criteria for second-order canonical advanced differential equations. We illustrate our results by presenting two examples.

🔖

Bu Makaleye Atıf Yap

Bohner, M., Vıdhyaa, K. S., Thandapani, E. (2022). Oscillation of noncanonical second-order advanced differential equations via canonical transform. Constructive Mathematical Analysis, Volume: 5 Issue: 1. https://doi.org/10.33205/cma.1055356

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (24)

  1. R. P. Agarwal, M. Bohner andW. T. Li: Nonoscillation and oscillation: theory for functional differential equations, volume 267 of Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 2004.
  2. R. P. Agarwal, S. R. Grace and D. O’Regan: Oscillation theory for second order linear, halflinear, superlinear and sublinear dynamic equations, Kluwer Academic Publishers, Dordrecht, 2002.
  3. R. P. Agarwal, C. Zhang and T. Li: New Kamenev-type oscillation criteria for second-order nonlinear advanced dynamic equations, Appl. Math. Comput., 225 (2013), 822–828.
  4. B. Baculíková: Oscillation of second-order nonlinear noncanonical differential equations with deviating argument, Appl. Math. Lett., 91 (2019), 68–75.
  5. G. E. Chatzarakis, J. Džurina and I. Jadlovská: New oscillation criteria for second-order half-linear advanced differential equations, Appl. Math. Comput., 347 (2019), 404–416.
  6. G. E. Chatzarakis, S. R. Grace and I. Jadlovská: A sharp oscillation criterion for second-order half-linear advanced differential equations, Acta Math. Hungar., 163 (2) (2021), 552–562.
  7. G. E. Chatzarakis, I. Jadlovská: Improved oscillation results for second-order half-linear delay differential equations, Hacet. J. Math. Stat., 48 (1) (2019) 170–179.
  8. G. Chatzarakis, O. Moaaz, T. Li and B. Qaraad: Some oscillation theorems for nonlinear secondorder differential equations with an advanced argument, Adv. Difference Equ., Paper No. 160 (2020), 17 pages.
  9. J. Džurina: Oscillation of second order differential equations with advanced argument, Math. Slovaca, 45 (3) (1995), 263–268.
  10. J. Džurina: Oscillation of second order advanced differential equations, Electron. J. Qual. Theory Differ. Equ., Paper No. 20 (2018), 9 pages.
  11. J. Džurina, S. R. Grace, I. Jadlovská and T. Li: Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term, Math. Nachr., 293 (5) (2020), 910–922.
  12. J. Džurina, I. Jadlovská: A sharp oscillation result for second-order half-linear noncanonical delay differential equations Electron. J. Qual. Theory Differ. Equ., Paper No. 46 (2020), 14 pages.
  13. J. Džurina, I. P. Stavroulakis: Oscillation criteria for second-order delay differential equations, Appl. Math. Comput., 140 (2-3) (2003), 445–453.
  14. J. R. Graef: Oscillation of higher order functional differential equations with an advanced argument, Appl. Math. Lett., 111 (2021), Paper No. 106685, 6.
  15. I. Gy˝ori, G. Ladas: Oscillation theory of delay differential equations. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 1991.With applications, Oxford Science Publications.
  16. I. Jadlovská: Oscillation criteria of Kneser-type for second-order half-linear advanced differential equations. Appl. Math. Lett., 106 (2020), 106354, 8.
  17. N. Kılıç, Ö. Öcalan, and U. M. Özkan: Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments, Appl. Math. E-Notes, 21 (2021), 253–262.
  18. T. Kusano, M. Naito: Comparison theorems for functional-differential equations with deviating arguments. J. Math. Soc. Japan, 33 (3) (1981), 509–532.
  19. T. Li, Y. V. Rogovchenko: Oscillation of second-order neutral differential equations, Math. Nachr., 288 (10) (2015), 1150–1162.
  20. T. Li, Y. V. Rogovchenko: Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations, Monatsh. Math., 184 (3) (2017), 489–500.
  21. T. Li, Y. V. Rogovchenko: On the asymptotic behavior of solutions to a class of third-order non-linear neutral differential equations, Appl. Math. Lett., 105 (2020), 106293, 7.
  22. A. M. Pedro: Oscillatory behavior of linear mixed-type systems, Rend. Circ. Mat. Palermo (2), 2021. doi: 10.1007/s12215-021-00658-y
  23. S. Tang, T. Li, R. P. Agarwal and Martin Bohner: Oscillation of odd-order half-linear advanced differential equations, Commun. Appl. Anal., 16 (3) (2012), 349–357.
  24. C. Vetro, D.Wardowski: Asymptotics for third-order nonlinear differential equations: Nonoscillatory and oscillatory cases, Asymptot. Anal., (2021), 1–19. doi:10.3233/ASY-211710