HYERS-ULAM-RASSIAS STABILITY OF CERTAINPERTURBED NONLINEAR LIENARD TYPE OF SECONDORDER DIFFERENTIAL EQUATIONS

Authors

  • Ilesanmi Fakunle Author
  • Peter Olutola Arawomo Author
  • Bankole Vincent Akinrem Author
  • Mathew Folorunsho Akinmuyise Author
  • Isaac Olabisi Adisa Author

Keywords:

Perturbed Lienard equation, Gronwall-Bellman inequality, Integral inequality, Nonlinear differential equation, Hyers-Ulam-Rassias stability

Abstract

In this paper the Hyers-Ulam-Rassias stability of certain perturbed nonlinear second order differential equations of Lienard type was studied, using some new modifications of Grownwall-Bellman-Bihari Integral inequality. Some examples are given to illustrate our results.

Author Biographies

  • Ilesanmi Fakunle


    Department of Mathematics, Adeyemi Federal University of Education, Ondo,
    Ondo State, Nigeria.

  • Peter Olutola Arawomo


    Department of Mathematics, University of Ibadan, Ibadan, Oyo State, Nigeria.

  • Bankole Vincent Akinrem


    Department of Mathematics, Adeyemi Federal University of Education, Ondo,
    Ondo State, Nigeria.

  • Mathew Folorunsho Akinmuyise


    Department of Mathematics, Adeyemi Federal University of Education, Ondo,
    Ondo State, Nigeria.

  • Isaac Olabisi Adisa


    Department of Mathematics, Adeyemi Federal University of Education, Ondo,
    Ondo State, Nigeria.

Published

2026-10-20