Periodic solutions of degenerate differential equations in vector-valued function spaces
نویسندگان
چکیده
منابع مشابه
Periodic Solutions of Degenerate Differential Equations in Vector-valued Function Spaces
Let A and M be closed linear operators defined on a complex Banach space X. Using operator-valued Fourier multipliers theorems, we obtain necessary and sufficient conditions to guarantee existence and uniqueness of periodic solutions to the equation d dt (Mu(t)) = Au(t) + f(t), in terms of either boundedness or R-boundedness of the modified resolvent operator determined by the equation. Our res...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2011
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm202-1-3