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Existence of Positive Periodic Solutions of First Order Neutral Differential Equations

Yıl 2023, Cilt: 11 Sayı: 1, 15 - 19, 30.04.2023

Öz

In this paper, we consider two classes of first order neutral nonlinear differential equations and we give some new sufficient conditions for the existence of positive periodic solutions of these equations by using the Krasnoselskii's fixed point theorem. An illustrative example is provided to support the theory developed in this study.

Kaynakça

  • [1] R. P. Agarwal, M. Bohner and W.-T. li, Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, 2004.
  • [2] T. Candan, Existence of positive periodic solutions of first order neutral differential equations with variable coefficients, Appl. Math. Lett., 52 (2016), 142-148.
  • [3] T. Candan, Existence of positive periodic solutions of first order neutral differential equations, Math. Methods Appl. Sci., 40(1) (2017), 205-209.
  • [4] T. Candan, Existence of positive periodic solution of second-order neutral differential equations, Turkish J. Math., 42(3) (2018), 797–806.
  • [5] J. Dˇzurina, Said R. Grace, Irena Jadlovsk´a and Tongxing Li, Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term, Math. Nachr., 293(5) (2020), 910-922.
  • [6] J. R. Graef and L. Kong, Periodic solutions of first order functional differential equations, Appl. Math. Lett., 24 (2011), 1981-1985.
  • [7] Tongxing Li and Yuriy V. Rogovchenko, Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations, Monatsh. Math., 184(3) (2017), 489-500.
  • [8] Tongxing Li and Yuriy V. Rogovchenko, On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett., 105 (2020), Art. 106293.
  • [9] Z. Li and X. Wang, Existence of positive periodic solutions for neutral functional differential equations, Electron. J. Differential Equations., 34 (2006), 8 pp.
  • [10] Z. Liu, X. Li, S. M. Kang and Y. C. Kwun, Positive periodic solutions for first-order neutral functional differential equations with periodic delays, Abstr. Appl. Anal., (2012), 185692, 12 pp.
  • [11] Y. Luo, W. Wang and J. Shen, Existence of positive periodic solutions for two kinds of neutral functional differential equations, Appl. Math. Lett., 21 (2008), 581-587.
  • [12] M. B. Mesmouli, A. Ardjouni and A. Djoudi, Positive periodic solutions for first-order nonlinear neutral functional differential equations with periodic delay, Transylv. J. Math. Mech., 6 (2014), 151-162.
  • [13] L. Yao, Global Exponential Convergence of Neutral Type Shunting Inhibitory Cellular Neural Networks with D Operator, Neural Processing Letters, 45 (2017), 401–409.
Yıl 2023, Cilt: 11 Sayı: 1, 15 - 19, 30.04.2023

Öz

Kaynakça

  • [1] R. P. Agarwal, M. Bohner and W.-T. li, Nonoscillation and Oscillation: Theory for Functional Differential Equations, Marcel Dekker, 2004.
  • [2] T. Candan, Existence of positive periodic solutions of first order neutral differential equations with variable coefficients, Appl. Math. Lett., 52 (2016), 142-148.
  • [3] T. Candan, Existence of positive periodic solutions of first order neutral differential equations, Math. Methods Appl. Sci., 40(1) (2017), 205-209.
  • [4] T. Candan, Existence of positive periodic solution of second-order neutral differential equations, Turkish J. Math., 42(3) (2018), 797–806.
  • [5] J. Dˇzurina, Said R. Grace, Irena Jadlovsk´a and Tongxing Li, Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term, Math. Nachr., 293(5) (2020), 910-922.
  • [6] J. R. Graef and L. Kong, Periodic solutions of first order functional differential equations, Appl. Math. Lett., 24 (2011), 1981-1985.
  • [7] Tongxing Li and Yuriy V. Rogovchenko, Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations, Monatsh. Math., 184(3) (2017), 489-500.
  • [8] Tongxing Li and Yuriy V. Rogovchenko, On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett., 105 (2020), Art. 106293.
  • [9] Z. Li and X. Wang, Existence of positive periodic solutions for neutral functional differential equations, Electron. J. Differential Equations., 34 (2006), 8 pp.
  • [10] Z. Liu, X. Li, S. M. Kang and Y. C. Kwun, Positive periodic solutions for first-order neutral functional differential equations with periodic delays, Abstr. Appl. Anal., (2012), 185692, 12 pp.
  • [11] Y. Luo, W. Wang and J. Shen, Existence of positive periodic solutions for two kinds of neutral functional differential equations, Appl. Math. Lett., 21 (2008), 581-587.
  • [12] M. B. Mesmouli, A. Ardjouni and A. Djoudi, Positive periodic solutions for first-order nonlinear neutral functional differential equations with periodic delay, Transylv. J. Math. Mech., 6 (2014), 151-162.
  • [13] L. Yao, Global Exponential Convergence of Neutral Type Shunting Inhibitory Cellular Neural Networks with D Operator, Neural Processing Letters, 45 (2017), 401–409.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Articles
Yazarlar

Tuncay Candan

Yayımlanma Tarihi 30 Nisan 2023
Gönderilme Tarihi 18 Ekim 2022
Kabul Tarihi 24 Nisan 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 11 Sayı: 1

Kaynak Göster

APA Candan, T. (2023). Existence of Positive Periodic Solutions of First Order Neutral Differential Equations. Konuralp Journal of Mathematics, 11(1), 15-19.
AMA Candan T. Existence of Positive Periodic Solutions of First Order Neutral Differential Equations. Konuralp J. Math. Nisan 2023;11(1):15-19.
Chicago Candan, Tuncay. “Existence of Positive Periodic Solutions of First Order Neutral Differential Equations”. Konuralp Journal of Mathematics 11, sy. 1 (Nisan 2023): 15-19.
EndNote Candan T (01 Nisan 2023) Existence of Positive Periodic Solutions of First Order Neutral Differential Equations. Konuralp Journal of Mathematics 11 1 15–19.
IEEE T. Candan, “Existence of Positive Periodic Solutions of First Order Neutral Differential Equations”, Konuralp J. Math., c. 11, sy. 1, ss. 15–19, 2023.
ISNAD Candan, Tuncay. “Existence of Positive Periodic Solutions of First Order Neutral Differential Equations”. Konuralp Journal of Mathematics 11/1 (Nisan 2023), 15-19.
JAMA Candan T. Existence of Positive Periodic Solutions of First Order Neutral Differential Equations. Konuralp J. Math. 2023;11:15–19.
MLA Candan, Tuncay. “Existence of Positive Periodic Solutions of First Order Neutral Differential Equations”. Konuralp Journal of Mathematics, c. 11, sy. 1, 2023, ss. 15-19.
Vancouver Candan T. Existence of Positive Periodic Solutions of First Order Neutral Differential Equations. Konuralp J. Math. 2023;11(1):15-9.
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