Mild solutions to integro-differential equations in Banach spaces

DOI10.1016/J.JDE.2019.12.001zbMath1447.45010OpenAlexW2992141941MaRDI QIDQ1986502

Rodrigo Ponce

Publication date: 8 April 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.12.001

zbMATH Keywords

integro-differential equationsmild solutions\(R\)-bounded setsequations with fading memory

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Functional-differential equations in abstract spaces (34K30) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Well‐posedness of second order differential equations with memory

Cites Work

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• On a functional equation associated with \((a, k)\)-regularized resolvent families
• Well-posedness of second-order degenerate differential equations with finite delay in vector-valued function spaces
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Mild well-posedness of vector-valued problems on the real line
• On fractional powers of generators of fractional resolvent families
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Periodic solutions of second order differential equations in Banach spaces
• Hölder continuous solutions for integro-differential equations and maximal regularity
• Über maximale \(L^ p\)-Regularität für Differentialgleichungen in Banach- und Hilbert-Räumen. (On maximal \(L^ p\)-regularity for differential equations in Banach and Hilbert spaces)
• Linear integro-differential equations in Banach spaces
• On the spectrum of cosine functions
• Well-posedness for degenerate third order equations with delay and applications to inverse problems
• On the mild solutions of higher-order differential equations in Banach spaces
• Mild well-posedness of second order differential equation on the real line
• Regularized solutions for abstract Volterra equations
• Hölder continuous solutions for fractional differential equations and maximal regularity
• Maximal regularity of second-order equations with delay
• Periodic solutions of integro-differential equations in vector-valued function spaces
• A general theory of heat conduction with finite wave speeds
• On the well-posedness of degenerate fractional differential equations in vector valued function spaces
• Periodic solutions of third-order degenerate differential equations in vector-valued functional spaces
• Well-posedness of second order degenerate integro-differential equations with infinite delay in vector-valued function spaces
• Analysis in Banach Spaces
• Periodic solutions of degenerate differential equations in vector-valued function spaces
• Mild well-posedness of equations with fractional derivative
• On the Spectrum of C 0 -Semigroups
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Mild solutions of second-order differential equations on the line
• Analysis in Banach Spaces
• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
• Global convoluted semigroups
• On heat conduction in materials with memory
• SOLUTIONS OF SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS ON PERIODIC BESOV SPACES

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