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Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales

Cilt: 5 Sayı: 2 30 Haziran 2021
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Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales

Öz

Let T be a periodic time scale. The purpose of this paper is to use Schauder's fixed point theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. The results obtained here extend the work of Raffoul r1.

Anahtar Kelimeler

Kaynakça

  1. [1] M. Adivar, H.C. Koyuncuoglu, Y.N. Raffoul, Classification of positive solutions of nonlinear systems of Volterra integrodynamic equations on time scales, Commun. Appl. Anal. 16(3) (2012) 359-375.
  2. [2] M. Adivar, Y. N. Raffoul, Existence of periodic solutions in totally nonlinear delay dynamic equations, Electronic Journal of Qualitative Theory of Differential Equations 2009(1) (2009) 1-20.
  3. [3] M. Adivar, Y.N. Raffoul, Existence results for periodic solutions of integro-dynamic equations on time scales, Annali di Matematica 188 (2009) 543-559.
  4. [4] E. Akin, O. Ozturk, On Volterra integro dynamical systems on time scales, Communications in Applied Analysis 23(1) (2019) 21-30.
  5. [5] A. Ardjouni, A. Djoudi, Existence of positive periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale, Malaya Journal of Matematik 2(1) (2013) 60-67.
  6. [6] A. Ardjouni, A. Djoudi, Existence of periodic solutions for nonlinear neutral dynamic equations with functional delay on a time scale, Acta Univ. Palacki. Olomnc., Fac. rer. nat., Mathematica 52(1) (2013) 5-19.
  7. [7] A. Ardjouni, A. Djoudi, Existence of periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale, Commun Nonlinear Sci Numer Simulat 17 (2012) 3061-3069.
  8. [8] A. Ardjouni, A. Djoudi, Periodic solutions in totally nonlinear dynamic equations with functional delay on a time scale, Rend. Sem. Mat. Univ. Politec. Torino Vol. 68(4)(2010) 349-359.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2021

Gönderilme Tarihi

20 Şubat 2020

Kabul Tarihi

21 Şubat 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Bordj, B., & Ardjouni, A. (2021). Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. Advances in the Theory of Nonlinear Analysis and its Application, 5(2), 180-192. https://doi.org/10.31197/atnaa.691860
AMA
1.Bordj B, Ardjouni A. Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. ATNAA. 2021;5(2):180-192. doi:10.31197/atnaa.691860
Chicago
Bordj, Belkis, ve Abdelouaheb Ardjouni. 2021. “Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales”. Advances in the Theory of Nonlinear Analysis and its Application 5 (2): 180-92. https://doi.org/10.31197/atnaa.691860.
EndNote
Bordj B, Ardjouni A (01 Haziran 2021) Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. Advances in the Theory of Nonlinear Analysis and its Application 5 2 180–192.
IEEE
[1]B. Bordj ve A. Ardjouni, “Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales”, ATNAA, c. 5, sy 2, ss. 180–192, Haz. 2021, doi: 10.31197/atnaa.691860.
ISNAD
Bordj, Belkis - Ardjouni, Abdelouaheb. “Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales”. Advances in the Theory of Nonlinear Analysis and its Application 5/2 (01 Haziran 2021): 180-192. https://doi.org/10.31197/atnaa.691860.
JAMA
1.Bordj B, Ardjouni A. Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. ATNAA. 2021;5:180–192.
MLA
Bordj, Belkis, ve Abdelouaheb Ardjouni. “Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 2, Haziran 2021, ss. 180-92, doi:10.31197/atnaa.691860.
Vancouver
1.Belkis Bordj, Abdelouaheb Ardjouni. Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. ATNAA. 01 Haziran 2021;5(2):180-92. doi:10.31197/atnaa.691860

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