Belsky D. Asymptotic properties of differential - functional equations systems' solutions.

Behaviour of solutions for linear differential - functional equations of neutral type with constant coefficient and with linearly transformed argument in the neighbourhoods of special points was researched in the thesis. Sufficient conditions for asymptomatic stability of zero solutions for quasilinear equations of neutral type were obtained. Asymptomatic properties of solutions for differential - functional equations with variable and constant were studied. We studied the structure of solution set, constrained on positive semi-axis of continuously differentiable solutions for system of linear differential - functional equations of neutral type with constant coefficient and with linearly transformed argument. There were determined sufficient conditions for existence, existence and uniqueness of solutions, constrained on positive semi-axis of solutions for quasilinear differential - functional equations with nonlinear argument deviation; their prop-erties were researched.