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

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Keywords

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