perturbations in delay differential equations.
Liapunov-type inequality for delay-differential equations of third order
A Liapunov-type inequality for a class of third order delay-differential equations is derived.
Linear and structural stability of a cell division process model.
Local center manifold for parabolic equations with infinite delay
The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation.
Lyapunov-Razumikhin method for asymptotic stability of sets for impulsive functional differential equations.