Well-posedness of second-order degenerate differential equations with finite delay in vector-valued function spaces

DOI10.2140/pjm.2017.288.27zbMath1367.34095OpenAlexW2606543698MaRDI QIDQ523414

Gang Cai, Shang Quan Bu

Publication date: 21 April 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2017.288.27

zbMATH Keywords

Fourier multiplierswell-posednessBesov spacesdelay equationsLebesgue-Bochner spacesdegenerate differential equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Boundary value problems for functional-differential equations (34K10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Implicit functional-differential equations (34K32)

Related Items (6)

Strongly \(L^p\) well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations ⋮ Well‐posedness of second order differential equations with memory ⋮ Well-posedness for degenerate third order equations with delay and applications to inverse problems ⋮ Periodic solutions of third-order differential equations with finite delay in vector-valued functional spaces ⋮ Mild solutions to integro-differential equations in Banach spaces ⋮ Maximal regularity for fractional Cauchy equation in Hölder space and its approximation

Cites Work

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• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Fourier multipliers and periodic solutions of delay equations in Banach spaces
• Periodic solutions of a fractional neutral equation with finite delay
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Well-posedness of second order degenerate differential equations in vector-valued function 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
• Maximal regularity of second order delay equations in Banach spaces

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