Solutions d'une equation differentielle au deuxieme membre factorise dans les voisinages des fonctions donnees et leur stabilite
An extension of a result of R. Conti is given from which some integro-differential inequalities of the Gronwall-Bellman-Bihari type and a criterion for the continuation of solutions of a system of ordinary differential equations are deduced.
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
The paper studies the equation in two cases: (i) , (ii) . In case (i), the global asymptotic stability of the solution is studied; in case (ii), the boundedness of all solutions is proved.
In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.