HYERS-ULAM-RASSIAS STABILITY OF CERTAIN PERTURBED NONLINEAR LIENARD TYPE OF SECOND DIFFERENTIAL EQUATIONS

  • 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 Akinremi 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.
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.

References

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Published
2023-09-11
How to Cite
Fakunle, I., Arawomo, P. O., Akinremi, B. V., Akinmuyise, M. F., & Adisa, I. O. (2023). HYERS-ULAM-RASSIAS STABILITY OF CERTAIN PERTURBED NONLINEAR LIENARD TYPE OF SECOND DIFFERENTIAL EQUATIONS. Unilag Journal of Mathematics and Applications, 3, 1 - 16. Retrieved from http://lagjma.unilag.edu.ng/article/view/2032
Issue
Vol 3 (2023)
Section
Articles
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