Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms

Sayfa
833–844
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An example is provided to illustrate the results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper deals with the oscillation of third-order nonlinear differential equations with neutral terms involving positive and negative nonlinear parts.
📊
Temel Bulgular & Veri:This paper deals with the oscillation of third-order nonlinear differential equations with neutral terms involving positive and negative nonlinear parts.
💡
Sonuç & Katkı:An example is provided to illustrate the results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:oscillation · third order · mixed neutral term

Abstract

This paper deals with the oscillation of third-order nonlinear differential equations with neutral terms involving positive and negative nonlinear parts. An example is provided to illustrate the results.

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Bu Makaleye Atıf Yap

GRACE, S. R., GRAEF, J. R., TUNÇ, E. (2022). Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 833–844. https://ajindex.com/articles/529524

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Kaynakça (15)

  1. R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Second Order Lin- ear, Half-Linear, Superlinear and Sublinear Dynamic Equations, Kluwer, Dordrecht, 2010
  2. R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrecht, 2010
  3. R.P. Agarwal, M. Bohner, T. Li and C. Zhang, A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput. 225, 787–794, 2013
  4. R.P. Agarwal, M. Bohner, T. Li and C. Zhang, Oscillation of second-order differential equations with a sublinear neutral term, Carpathian J. Math. 30, 1–6, 2014
  5. D.D. Bainov and D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol, 1991
  6. O. Bazighifan, Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations, Adv. Differ. Equ. 2020, No. 201, 2020
  7. O. Bazighifan, On the oscillation of certain fourth-order differential equations with p-Laplacian like operator, Appl. Math. Comput. 386, 125475, 2020
  8. O. Bazighifan, Oscillatory applications of some fourth-order differential equations, Math. Methods Appl. Sci.,
  9. O. Bazighifan and H. Ramos, On the asymptotic and oscillatory behavior of the solu- tions of a class of higher-order differential equations with middle term, Appl. Math. Lett. 107, 106431, 2020
  10. S.J. Bilchev, M.K. Grammatikopoulos and I.P. Stavroulakis, Oscillations of second- order neutral differential equations with deviating arguments, in: Oscillation and Dy- namics in Delay Equations, Proc. Spec. Sess. AMS, San Francisco/CA (USA) 1991, Contemp. Math. 129, 1–21, 1992
  11. J. Džurina and R. Kotorová, Properties of the third order trinomial differential equa- tions with delay argument, Nonlinear Anal. 71, 1995–2002, 2009
  12. J.-G. Dong, Oscillation behavior of second order nonlinear neutral differential equa- tions with deviating arguments, Comput. Math. Appl. 59, 3710–3717, 2010
  13. L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation Theory for Functional Differential Equations, Dekker, New York, 1995
  14. S.R. Grace, R.P. Agarwal and D. O’Regan, A selection of oscillation criteria for second-order differential inclusions, Appl. Math. Lett. 22, 153–158, 2009
  15. S.R. Grace, E. Akın and C.M. Dikmen, On the oscillation of second order nonlin- ear neutral dynamic equations with distributed deviating arguments