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Research Article Open Access

A Boundedness Theorem for a Certain Third Order Nonlinear Differential Equation

A.T. Ademola, R. Kehinde and O.M. Ogunlaran

Abstract

In this study, we establish conditions for ultimate boundedness of solutions for a certain third order nonlinear differential equation using a complete Yoshizawa function. The result includes and extends the earlier results in the literature.

Journal of Mathematics and Statistics
Volume 4 No. 2, 2008, 88-93

DOI: https://doi.org/10.3844/jmssp.2008.88.93

Submitted On: 19 May 2008 Published On: 30 June 2008

How to Cite: Ademola, A., Kehinde, R. & Ogunlaran, O. (2008). A Boundedness Theorem for a Certain Third Order Nonlinear Differential Equation . Journal of Mathematics and Statistics, 4(2), 88-93. https://doi.org/10.3844/jmssp.2008.88.93

Open AccessCopyright: © 2008 A.T. Ademola, R. Kehinde and O.M. Ogunlaran. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Boundedness of solutions
  • nonlinear third order equation
  • complete Yoshizawa functions
  • incomplete Lyapunov functions