MODIFIED OSCILLATION CRITERIA OF SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS

In this paper we shall consider a class of second-order nonlinear difference equations with a negative neutral term. Some new oscillation criteria are obtained via Riccati transformation technique. These criteria improve and modify the existing results mentioned in the literature. Some examples are given to show the applicability and significance of the main results.

ON THE CONSTRUCTION OF A CLASS OF COMPUTABLE OPERATORS

Within the framework of a constructive approach to the study of linear boundary value problems for functional differential equations, a way for constructing one class of so-called computable operators is proposed.

ON SUFFICIENT CONDITIONS OF EXPONENTIAL STABILITY FOR SYSTEMS OF LINEAR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH AFTEREFFECT

We consider systems of linear autonomous functional differential equa-tion with aftereffect and propose an approach to obtain effective sufficient conditions of exponential stability for these systems. In the approach we use the positiveness of the fundamental matrix of an auxiliary system (a comparison system) with concentrated and distributed delays.

NUMERICAL SOLUTION OF MARCHUK MODEL OF INFECTION DISEASES

In this paper we deal the model of infection diseases, constructed by G.I.Marchuk. We add distributed control to one of the equations describing this model, and obtain numerical solutions of this model. Several numerical solutions demonstrate advances of distributed control.