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Information × Registration Number 0206U000201, 0103U006672 , R & D reports Title Nonlocal problems of the theory of differential and evolution equations popup.stage_title Head Samoilenko Anatoly Mykhailovych, Registration Date 17-01-2006 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 Assuming that non-perturbed linear homogeneous systems are exponentially dichotomous on semi-axes, conditions for existence of rho-parametric set of bounded on hole axes solutions of linear and nonlinear systems of differential and difference equations are obtained. Criteria for existence of unique invariant torus of linear extension of dynamical system by continuous non-homogeneity belonging to some invariant manifold is found. Conditions for existence and uniqueness of periodic solutions and conditions for extinction of solutions of Lotka-Volterra system with diffusion and impulses are obtained. For some types of singularities, sufficient conditions for smooth equivalence of circle homeomorphisms with the same irrational rotation numbers are given. Necessary and sufficient conditions for solvability of Noether boundary values problems for systems of ordinary differential equations with impulses are obtained. Stability and bifurcation of periodic solutions for systems of difference equations with continuous time are investigated. Methods of construction for periodic solutions are proposed. Conditions for global stability of unique equilibrium of nonlinear scalar functional differential equations and difference equations of higher order are obtained. Product Description popup.authors popup.nrat_date 2020-04-02 Close