On the Existence and Asymptotics of a Periodic Solution of a Degenerate Singularly Perturbed System of Differential Equations in the Case of Multiple Elementary Divisors
Tóm tắt
We consider a linear inhomogeneous singularly perturbed system of differential equations with ω-periodic coefficients and identically degenerate matrix with the derivative. We establish sufficient conditions for the existence and uniqueness of an ω-periodic solution of this system in the case where the main pencil of matrices has multiple spectrum. We construct asymptotics of this solution.
Tài liệu tham khảo
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