Hölder continuous solutions of second order degenerate differential equations with finite delay

DOI10.1007/s00025-019-0982-2zbMath1415.34115OpenAlexW2911873421MaRDI QIDQ667741

Gang Cai, Shang Quan Bu

Publication date: 1 March 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-0982-2

zbMATH Keywords

well-posednessHölder continuous functiondegenerate differential equations\(\dot{C}^\alpha\)-multiplier

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10) General theory of functional-differential equations (34K05) Implicit functional-differential equations (34K32)

Related Items (max. 100)

Well‐posedness of second order differential equations with memory

Cites Work

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• Well-posedness of second order degenerate differential equations in Hölder continuous function spaces
• Well-posedness of degenerate differential equations in Hölder continuous function spaces
• A Hausdorff-Young inequality for B-convex Banach spaces
• \(L^p\)-maximal regularity of degenerate delay equations with periodic conditions
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces
• Hölder continuous solutions for Sobolev type differential equations

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