On the Stability and Boundedness of Solutions of Aizermann Vector Differential Equations

On the Stability and Boundedness of Solutions of Aizermann Vector...

Authors

  • Adetunji Adedotun Adeyanju Federal University of Agriculture, Abeokuta
  • Mathew Omeike Federal University of Agriculture, Abeokuta
  • Olusola Adeniran Federal University of Agriculture, Abeokuta
  • Biodun Badmus

Abstract

The objective of this paper is to examine certain sufficient conditions for uniform asymptotic stability of trivial solution and uniform ultimate boundedness of all solutions to a certain Aizermann vector differential equation. By constructing an appropriate complete Lyapunov function, we provide sufficient conditions that guarantee the qualitative properties mentioned above. The results of this paper are solutions to the open problems contained in Ezeilo.

Author Biography

  • Adetunji Adedotun Adeyanju, Federal University of Agriculture, Abeokuta
    Mathematics, Assistant Lecturer

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Published

2023-12-08

Issue

Vol. 42 No. 3 (2023): JNMS

Section

Articles

License

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How to Cite

On the Stability and Boundedness of Solutions of Aizermann Vector Differential Equations: On the Stability and Boundedness of Solutions of Aizermann Vector.. (2023). Journal of the Nigerian Mathematical Society, 42(3), 169-179. https://ojs.ictp.it/jnms/index.php/jnms/article/view/950