Mathematics

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On the asymptotic behaviour of solutions of certain differential equations of the third order
(2014-03) Ademola, T. A.; Arawomo, P. O.
In this article, Lyapunov second method is used to obtain criteria for uniform ultimate boundedness and asymptotic behaviour of solutions of nonlinear differential equations of the third order. The results obtained in this investigation include and extend some well known results on third order nonlinear differential equations in the literature.
Stability and uniform ultimate boundedness of solutions of a third-order differential equation
(Academic Publications, 2010) Ademola, T. A.; Arawomo, P. O.
This paper is concerned with uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1.1). Sufficient conditions under which all solutions x(t), its first and second derivatives tend to zero as t —∞, when p(t,x,x',x") = 0, are presented.
Boundedness and stability of solutions of some nonlinear differential equations of the third-order
(2009) Ademola, T. A.; Arawomo, P. O.
Sufficient conditions are established for the uniform ultimate boundedness of solutions of a third-order nonlinear differential equation (1). When, p(t,x,x',x")=0, criteria under which all solutions x(t), its first and second derivatives tend to zero as t→∞, are given.