Matrix Linearization of Functional-Differential Equations of Point Type and Existence and Uniqueness of Periodic Solutions
Tóm tắt
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.
Tài liệu tham khảo
Beklaryan, L.A. and Belousov, F.A., Periodic solutions of functional-differential equations of point type, Differ. Equations, 2015, vol. 51, no. 12, pp. 1541–1555.
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