Hölder continuous solutions for second order integro-differential equations in Banach spaces

DOI10.1016/S0252-9602(11)60274-9zbMath1240.45023MaRDI QIDQ655901

Shang Quan Bu

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

integro-differential equationsBanach spaceclosed operatorHölder continuous solutionsFourier multiplier\(C^\alpha\)-well-posedness

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Existence results for some damped second-order Volterra integro-differential equations ⋮ Well‐posedness of second order differential equations with memory ⋮ Maximal regularity for perturbed integral equations on the line

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