Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8314Research ArticleSufficient Conditions of Existence of Unique Periodic Solutions for Second Order One-Dimension EquationsBelousovF AInstitution of Russian Academy of Sciencebelousovfedor@gmail.comCentral Economics and Mathematics Institute150120131263608092016Copyright © 2013,2013In this work sufficient conditions of existence of unique periodic solutions for second order one-dimension equations are derived. The goal of the paper is not only in getting such results, but also in demonstration of new approach, which may be applied to more general class of differential equations, i.e. it may be considered not only second order, but also grater order differential equations.ordinary differential equationsperiodical solutionsexistence and uniqueness of periodical solutionsобыкновенные дифференциальные уравненияпериодические решениясуществование и единственность периодических решений