Asymptotic behaviour of solutions of some second order nonlinear differential equations

Asymptotic behaviour of solutions of some second order

Authors

  • S. J. Olaleye Department of Mathematics, Obafemi Awolowo University, Post Code 220005 Ile-Ife, Nigeria
  • G. Akinbo Department of Mathematics, Obafemi Awolowo University, Post Code 220005 Ile-Ife, Nigeria
  • O. O. Aduroja Univerity of Ilesa, Ilesa, Osun State, Nigeria
  • A. T. Ademola Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
  • O. A. Adesina Department of Mathematics, Obafemi Awolowo University, Post Code 220005 Ile-Ife, Nigeria

Abstract

This paper investigates the asymptotic behaviour of solutions of some second order nonlinear ordinary, delay and stochastic differential equations. Order of these differential equations are reduced to system of first order and employed to constructing a suitable complete Lyapunov functions and functional. Standard conditions are imposed on the nonlinear terms to obtain criteria which guarantee the asymptotic behaviour of solutions of the considered equations. Examples are given to illustrate the obtained results. Our results improve and extend some well known results in literature.

Downloads

Published

2023-12-08

How to Cite

Olaleye, S. J., Akinbo, G., Aduroja, O. O., Ademola, A. T., & Adesina, O. A. (2023). Asymptotic behaviour of solutions of some second order nonlinear differential equations: Asymptotic behaviour of solutions of some second order. Journal of the Nigerian Mathematical Society, 42(3), 181–201. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/976

Issue

Vol. 42 No. 3 (2023): JNMS

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.