STABILITY AND BOUNDEDNESS OF SOLUTIONS OF LIENARD TYPE MATRIX DIFFERENTIAL EQUATIONS

STABILITY AND BOUNDEDNESS OF SOLUTIONS

Abstract

We studied the stability and boundedness of solutions of Lienard type matrix differential equations of the form $$\displaystyle\ddot{X}+A\dot{X}+H(X)=P(t, X,\dot{X}),$$ which is a rectangular matrix differential equation. A suitable Lyapunov function was constructed and used to establish our results. The results showed that the solution is stable, and bounded and further improves and complements earlier results in the literature.