SavedAdd your journal

Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 5

On nonoscillatory solutions of three dimensional time-scale systems

Özkan ÖZTÜRK
İsmail U. TİRYAKİ
Elvan AKIN
Taher HASSAN
Pages
2246–2261
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, the existence of such solutions is obtained by Knaster’s fixed point theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we classify nonoscillatory solutions of a system of three-dimensional time scale systems.
📊
Key Findings & Data:Weuse the method of considering the sign of components of such solutions.
💡
Conclusion & Impact:Moreover, the existence of such solutions is obtained by Knaster’s fixed point theorem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this article, we classify nonoscillatory solutions of a system of three-dimensional time scale systems. Weuse the method of considering the sign of components of such solutions. Examples are given to highlight some of ourresults. Moreover, the existence of such solutions is obtained by Knaster’s fixed point theorem.

🔖

Cite This Article

ÖZTÜRK, Ö., TİRYAKİ, İ. U., AKIN, E., HASSAN, T. (2022). On nonoscillatory solutions of three dimensional time-scale systems. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 5, 2246–2261. https://ajindex.com/articles/608097

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Akgül A, Akın E. Almost oscillatory three-dimensional dynamical systems of first order delay dynamic equations. Nonlinear Dynamics and Systems Theory 2014; 13 (3): 209-223
  2. Akın-Bohner E, Došlá Z, Lawrence B. Oscillatory properties for three-dimensional dynamic systems. Nonlinear Analyis 2008; 69: 483-494
  3. Akın-Bohner E, Došlá Z, Lawrence B. Almost oscillatory three-dimensional dynamic systems. Advances in Difference Equations 2012;46, 1-14
  4. Birkhoff GD. On the solutions of ordinary linear homogeneous differential equations of the third order. Annals of Mathematics 1911; 12 (3): 103-127
  5. Bohner M, Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications. Boston, MA, USA: Birkhäuser, 2001
  6. Bohner M, Peterson A. Advanced in Dynamic Equations on Time Scales. Boston, MA, USA: Birkhäuser, 2003
  7. Došlá Z, Kobza A. Global asymptotic properties of third-order difference equations. Journal of Computational and Applied Mathematics 2004; 48: 191-200
  8. Došlá Z, Kobza A. On third-order linear equations involving quasi-differences. Advances in Difference Equations 2006: 1-13
  9. Knaster B. Un th ´eor `eme sur les fonctions d’ensembles. Annales de la Soci￿t￿ Polonaise de Math￿matique 1928; 6, 133-134
  10. Kobza A. Property A for third order difference equations. Studies of the University of Žilina Mathematics and Physics Series 2003; 17: 109-114
  11. Öztürk Ö, Higgins R. Limit behaviors of nonoscillatory solutions of three-dimensional time scale systems. Turkish Journal of Mathematics 2018; 42: 2576-2587
  12. Öztürk Ö. On the existence of nonoscillatory solutions of three-dimensional time scale systems. Journal of Fixed Point Theory and Applications 2017; 19: 2617-2628
  13. Öztürk Ö, Akın E, Tiryaki İU. On Nonoscillatory Solutions of Emden-Fowler Dynamic Systems on Time Scales. Filomat 2017; 31 (6): 1529-1541
  14. Thandapani E, Ponnammal B. Oscillatory properties of solutions of three-dimensional difference systems. Mathematical and Computer Modelling 2005; 42: 641-650.