|
|||||
|
|
Boundedness results for a certain third order nonlinear differential equation |
|
| Authors: | Timothy A Ademola |
| Institution: | a Department of Mathematics and Statistics, Bowen University, P.M.B. 284, Iwo, Osun State, Nigeria b College of Natural and Applied Sciences, Department of Physical Sciences, Bells University of Technology, P.M.B 1015, Ota, Ogun State, Nigeria c Department of Mathematics, University of Ibadan, Ibadan, Nigeria d Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria |
| Abstract: | Sufficient conditions for the existence of solutions to boundedness and ultimate boundedness problems associated to a certain third order nonlinear differential equation are given by means of the Lyapunov’s second method. The appropriate Lyapunov function is given explicitly. Our results complement some well known results on the third order differential equations in the literature. |
| Keywords: | Bounded solutions Ultimate bounded solution Lyapunov functions Third order differential equations |
| 本文献已被 ScienceDirect 等数据库收录！ | |