Stability domain of a linear differential equation with two delays

STABILITY DOMAIN OF LINEAR DIFFERENTIAL EQUATION WITH TWO DELAYS I.S. Levitskaya e–mail: [email protected] Chelyabinsk State Pedagogical University, Chelyabinsk, Russia We study the stability of the zero solution of the differential equation = − − τ − − τ where τ τ ∈ τ ≥ τ ≥ By means of numerical experiments we constructed the stability domains of this equation in space of parameters  for any relations between delays τ τ . It is shown, that at the fixed greater delay, the least area of the stability region in space of parameters is achieved when the relation of smaller delay to the greater one is equal to