ON THE CONVERGENCE BEHAVIOUR OF SOLUTIONS OF CERTAIN SYSTEM OF SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

ON THE CONVERGENCE BEHAVIOUR OF SOLUTIONS

Abstract

Convergence criteria for the solutions of certain
system of two nonlinear delay differential equations with con-
tinuous deviating argument ϱ(t) using a suitable Lyapunov-
Krasovskii’s functional are established in this study. The new
result attained extends and updates some results mentioned in
the literature. A numerical illustration is given to show the va-
lidity of the result as well geometric analysis to describe the
behavior of solutions of the system.