Boiko T. Mathematical models of structurally evolving systems, their research and application

The thesis deals with problems of practical stability and optimization of dynamics of systems of differential equations that are structurally evolving. The mathematical model that describes structurally evolving processes is constructed. Theorems about the practical stability of structurally evolving systems are formulated and proved. For parametrical structurally evolving systems, formulas for evaluating the sensitivity functions are derived. The method elaborated in the thesis is applied to modeling of the optimal dynamics of financial-industrial structures and to evaluating the optimal parameters of systems being concerned.