Quadratic Systems with Delay

摘要

The systems of nonlinear differential equations with constant delay are under consideration. Nonlinearity of quadratic type is investigated. The system of equations are presented in special unified vector-matrix form. We investigate stability of stationary position of equilibrium state, which is located in the first quadrant of coordinate system. The second Lyapunov method is accepted as techniques for investigation of quadratic functions type with the Razumikhin condition.