Kragujevac J. Math. 26 (2004) 73-81.

ON THE EXPONENTIAL STABILITY OF A CERTAIN LURIE SYSTEM

Olufemi Adeyinka Adesina

Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria.

Abstract. We provide necessary and sufficient conditions that ensure the existence of a bounded solution, which is globally exponentially stable, periodic or almost periodic, for a special Lurie system with a single differentiable nonlinear term.