Periodic solutions of third-order differential equations with finite delay in vector-valued functional spaces

DOI10.1007/s10114-018-8001-1zbMath1447.34067OpenAlexW2803860859MaRDI QIDQ1734907

Shang Quan Bu, Gang Cai

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-8001-1

zbMATH Keywords

well-posednessBesov spacesdelay equationsFourier multiplierLebesgue-Bochner spaces

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Periodic solutions to functional-differential equations (34K13) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

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• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
• Periodic solutions of an abstract third-order differential equation
• Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces
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• Maximal regularity of delay equations in Banach spaces
• A functional calculus description of real interpolation spaces for sectorial operators
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES
• Maximal regularity of second order delay equations in Banach spaces
• The \(H^\infty\)-calculus and sums of closed operators

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