On the Existence of Periodic Solutions of a ‎Certain‎‎ Fifth-order Autonomous Differential Equations ‎via Topological Degree Theory

Document Type : Original Paper

Author

Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Abstract

In this paper, we study the existence of periodic solutions a certain

autonomous non-linear ordinary differential equations (ODE's) of‎ ‎fifth‎

order. Our method is based on the evaluation of Brouwer's degree

theory and making use of the homotopy invariance property of the

topological degree. Finally, we present some numerical results obtained by using the analytical methods.

Keywords

Main Subjects

References

B.E. Johnson, Cohomology in Banach algebras, Memoirs of the American Mathematical Society, vol. 127, 1972
O.T. Mewomo, Various notions of amenability in Banach algebras, Expositiones Mathematicae 29 (2011) 283–299
V. Runde, Lectures on amenability, Springer-Verlag, Berlin, Heidelberg, 2002.
V. Runde, Amenable Banach algebras, Springer Monographs in Mathematics, Berlin, 2020.
Journal of Advanced Mathematical Modeling
Volume 13, Issue 2 - Serial Number 30
September 2023
Pages 233-244

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History

  • Receive Date: 22 January 2023
  • Revise Date: 04 July 2023
  • Accept Date: 13 July 2023

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