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M.A. Krasnosel’skii, A.I. Perov, A.I. Povolotskii, P.P. Zabreiko (1963)
Vektornye polya na ploskosti (Vector Fields on the Plane)
L. Beklaryan, F. Belousov (2015)
Periodic solutions of functional-differential equations of point typeDifferential Equations, 51
(1963)
Vektornye polya na ploskosti (Vector Fields on the Plane), Moscow: Gos
(2007)
Gruppovoi podkhod (Intoduction to the Theory of Functional-Differential Equations
(1981)
Teoriya kolebanii (Theory of Oscillations)
(2013)
Ogranichennye resheniya nelineinykh vektorno-matrichnykh differentsial’nykh uravnenii n-go poryadka (Bounded Solutions of nth-Order Nonlinear Vector-Matrix Differential Equations)
(1969)
Kolebaniya nelineinykh sistem (Oscillations of Nonlinear Systems)
(1976)
Vvedenie v teoriyu nelineinykh kolebanii (Introduction to the Theory of Nonlinear Oscillations)
L.A. Beklaryan (2007)
Vvedenie v teoriyu funktsional’no-differential’nykh uravnenii. Gruppovoi podkhod (Intoduction to the Theory of Functional-Differential Equations. Group Approach)
(1975)
Geometricheskie metody nelineinogo analiza (Geometric Methods of Nonlinear Analysis)
We study ω-periodic solutions of a functional-differential equation of point type that is ω-periodic in the independent variable. In terms of the right-hand side of the equation, we state easy-to-verify sufficient conditions for the existence and uniqueness of an ω-periodic solution and describe an iteration process for constructing the solution. In contrast to the previously considered scalar linearization, we use a more complicated matrix linearization, which permits extending the class of equations for which one can establish the existence and uniqueness of an ω-periodic solution.
Differential Equations – Springer Journals
Published: Nov 16, 2018
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