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Документ Application of ordinary differential equations in solving diffusive problem(2013) Tkachuk, Alla; Mazur, OlehIt is investigated the changing of concentration of expanded fluid in thickness of diffusive stratum. A solution of the given problem has been received as a solution of an ordinary second-order differential equation i.e. as a solution of Cauchy problem.Документ Application of the averaging method to some optimal control problems(2013) Mogileva, Victoria; Stanzhytskyi, O.; Tkachuk, AllaAn optimal control problem for non-linear differential equations system with small parameter has been considered. To the study of such problems the application of the averaging method is justified.