Boundedness results for a certain third order nonlinear differential equation
Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Inc.
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.
Description
Keywords
Bounded solutions, Ultimate bounded solution, Lyapunov functions, Third order differential equations