A Study on Damped Elastic Systems in Banach Spaces

DOI10.1080/01630563.2019.1664567zbMath1479.34111OpenAlexW2975402716MaRDI QIDQ4959902

Haide Gou, Yongxiang Li

Publication date: 7 April 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2019.1664567

zbMATH Keywords

fixed pointevolution equationmeasure of noncompactnessdamped elastic systemsoperator semigroupanalytic and exponentially stable

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

A damped elastodynamics system under the global injectivity condition: local wellposedness in \(L^p\)-spaces ⋮ A study on the approximate controllability of damped elastic systems using sequence method ⋮ A study on decay mild solutions of damped elastic systems with nonlocal conditions in Banach spaces ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Lower and upper solutions for damped elastic systems with delay in ordered Banach space ⋮ Positive mild solutions for damped elastic systems with delay and nonlocal conditions in ordered Banach space ⋮ Monotone iterative technique for nonlocal problems of damped elastic systems with delay

Cites Work

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• A note on the polynomial stability of a weakly damped elastic abstract system
• \(L^{p}\)-maximal regularity for nonautonomous evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Proof of extensions of two conjectures on structural damping for elastic systems
• Holomorphic and differentiable properties of the \(C_ 0\)-semigroup associated with the Euler-Bernoulli beam equations with structural damping
• Analyticity and differentiability of semigroups associated with elastic systems with damping and gyroscopic forces
• Decay mild solutions for elastic systems with structural damping involving nonlocal conditions
• Existence of mild solutions for the elastic systems with structural damping in Banach spaces
• Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions
• Analyticity and exponential stability of semigroups for the elastic systems with structural damping in Banach spaces
• Well-posedness for some damped elastic systems in Banach spaces
• \(L^p\)-maximal regularity for second order Cauchy problems
• Maximal Regularity in Interpolation Spaces for Second-order Cauchy Problems
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Maximal regularity for second order non-autonomous Cauchy problems
• A mathematical model for linear elastic systems with structural damping
• On the Mathematical Model for Linear Elastic Systems with Analytic Damping
• One-Parameter Semigroups for Linear Evolution Equations
• Exponential decay for elastic systems with structural damping and infinite delay
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½

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