Search academic texts

Information × Registration Number 0218U007183, 0118U002257 , R & D reports Title The stability of attracting sets of pulsed dynamic systems. popup.stage_title Head Kapustyan Oleksiy, Registration Date 27-12-2018 Organization Taras Shevchenko Kiev University popup.description2 Object of research: attracting sets of impulse dynamical systems. Methods of research: qualitative theory of pulsed systems of differential equations, theory of dynamical systems, theory of nonlinear initial-boundary value problems, theory of evolution inclusions. The project is devoted to studying the conditions of the stability of boundary regimes in evolutionary systems that undergo impulse perturbations when reaching the representational point of fixed subsets of the phase space. For nonlinear systems of ordinary differential equations with impulse perturbation on hyperplane surfaces, sufficient conditions for asymptotic and exponential stability of invariant attracting sets are established. An infinite-dimensional phase space has developed an abstract theory of attractors of multivalued pulsed dynamic systems, within which the criteria for the existence of compact attracting sets and effective sufficient conditions for their invariance and stability are obtained. The abstract results obtained are applied to broad classes of impulsive dissipative multivalued dynamical systems generated by evolutionary inclusions with non-lipschite right-hand sides, parabolic systems without uniqueness and hyperbolic equations.5481 Product Description popup.authors І. В. Романюк О. А. Капустян О. В. Капустян О. В. Перегуда Т. Б. Шкляр Ф. А. Асроров Ю. М. Перестюк popup.nrat_date 2020-04-02 Close