Boundedness Of Solutions Of Some Third Order Non-Autonomous Ordinary Differential Equations

Authors

  • D. O. Adams DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA, NIGERIA
  • M. O. Omeike DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA, NIGERIA.
  • O. T. Mewomo DEPARTMENT OF MATHEMATICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA, NIGERIA.
  • I. O. Olusola DEPARTMENT OF PHYSICS, FEDERAL UNIVERSITY OF AGRICULTURE, ABEOKUTA, NIGERIA.

Abstract

We study the behavior of the solutions of the differential equation
...x +(a(t, x, x,˙ x¨)+m(t, x, x,˙ x¨))¨x+b(t)g(x,x˙)+c(t, x, x,˙ x¨)h(x) = p(t, x, x,˙ x¨)
and present sufficient conditions on the functions involved under which the solutions of the differential equation are bounded. Some results on the regularity and asymptotic behavior of the solutions are also obtained.

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Published

2021-04-08

How to Cite

Adams, D. O. ., Omeike, M. O. ., Mewomo, O. T., & Olusola, I. O. . (2021). Boundedness Of Solutions Of Some Third Order Non-Autonomous Ordinary Differential Equations. Journal of the Nigerian Mathematical Society, 32(1-3), 229–240. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/696

Issue

Vol. 32 No. 1-3 (2013): JNMS

Section

Articles

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