Well posedness for a class of flexible structure in Hölder spaces

DOI10.1155/2009/358329zbMath1331.35337OpenAlexW2052189580WikidataQ58648963 ScholiaQ58648963MaRDI QIDQ1036332

Carlos Lizama, Claudio Cuevas

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/358329

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (10)

Asymptotic periodicity for flexible structural systems and applications ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Periodic solutions of third-order integro-differential equations in vector-valued functional spaces ⋮ Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay ⋮ Well‐posedness for the fourth‐order Moore–Gibson–Thompson equation in the class of Banach‐space‐valued Hölder‐continuous functions ⋮ Maximal regularity for perturbed integral equations on the line ⋮ Hölder continuous solutions for Sobolev type differential equations ⋮ Maximal regularity for flexible structural systems in Lebesgue spaces ⋮ Existence of asymptotically almost periodic solutions for damped wave equations ⋮ L^p-boundedness and topological structure of solutions for flexible structural systems

Cites Work

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• Periodic solutions of second order differential equations in Banach spaces
• Hölder continuous solutions for integro-differential equations and maximal regularity
• The Cauchy problem for higher-order abstract differential equations
• Exact controllability and boundary stabilization of torsional vibrations of an internally damped flexible space structure
• Exact controllability and boundary stabilization of flexural vibrations of an internally damped flexible space structure.
• \(L^p\)-maximal regularity for second order Cauchy problems
• A variational approach to strongly damped wave equations
• Evolutionary Integral Equations and Applications
• Fourier multipliers for Hölder continuous functions and maximal regularity

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