This paper provides sufficient conditions for the stability, asymptotic stability, uniform
stability, boundedness and uniformly boundedness of solutions of a certain class of second …

In this paper, we employ the second method of Lyapunov to examine sufficient conditions for
the uniform-ultimate boundedness of solutions and existence of at least one periodic …

BOUNDEDNESS OF CERTAIN SYSTEM OF SECOND ORDER DIFFERENTIAL
EQUATIONS 1. Introduction For over five decades, many authors have de Page 1 …

This paper deals with a nonlinear ordinary differential system of second order. In the paper,
qualitative properties of solutions of the system called asymptotic stability (AS), uniform …

In this paper, we employ a complete Lyapunov function, Demidovic theorem and the
generalized theorems of Ezeilo to establish sufficient conditions for the existence of a …

In this paper, we employ the direct method of Lyapunov which involves the use of a suitable
scalar function known as Lyapunov function, to establish sufficient conditions for the stability …

In this paper, we investigate by means of second method of Lyapunov, sufficient conditions
that guarantee uniform-asymptotic stability of the trivial solution and ultimate boundedness …

We present in this paper the qualitative study of solutions of certain third order nonlinear
matrix differential equations where the unknown function X is matrix-valued. The properties …

The objective of this paper is to examine certain sufficient conditions for uniform asymptotic
stability of trivial solution and uniform ultimate boundedness of all solutions to a certain …

This paper investigates the asymptotic behaviour of solutions of some second order
nonlinear ordinary, delay and stochastic differential equations. Order of these differential …