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Information × Registration Number 0217U007243, 0117U007015 , R & D reports Title Discrete and continuous evolutionary structures. popup.stage_title Head Samoilenko Igor, Registration Date 27-12-2017 Organization Taras Shevchenko Kiev University popup.description2 Object of research: differential equations with stochastic small pre- Bowks, occasional evolution, evolutionary systems, perturbed casual bluechan- nia, accidental processes with an immittance. Purpose: the study of discrete and continuous random structures with an emphasis on the analysis of their asymptotic properties. Methods of research: methods of the theory of random processes, methods of probability theory, singular perturbation problem, boundary layer method, method of probabilistic metrics, method of gluing. Conditions have been found to guarantee a weak convergence of finite-dimensional distributions of some types of random evolutions, in particular conditions providing a weak convergence in the space of the Skorokhod random processes with an immigration to stationary processes with an immittance. According to various assumptions about the input parameters, a number of bounded theorems on weak convergence have been proved, after normalization, of finite-dimensional distributions of the last processes in the changed scale of time to finite-dimensional distributions of conditionally Gaussian processes, spectral-integrable processes of Levi and some other processes.5481 Product Description popup.authors I.В. Самойленко О.А. Капустян О.В. Маринич О.М. Iксанов popup.nrat_date 2020-04-02 Close