Stability and Boundedness of the Nonlinear Differential Equations of Third Order With Multiple Deviating Arguments

Abstract

We establish some sufficient conditions to guarantee the stability of the zero solution and the boundedness of all solutions of certain nonlinear differential equations of third order with multiple deviating arguments. In the proofs, the Lyapunov functional approach is employed as main tool and an example is given to illustrate the feasibility of the established results.