Existence of mild solutions for the elastic systems with structural damping in Banach spaces

DOI10.1155/2013/746893zbMath1322.74018OpenAlexW2062773113WikidataQ58917330 ScholiaQ58917330MaRDI QIDQ1949503

Yongxiang Li, Pengyu Chen, Hongxia Fan

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/746893

Mathematics Subject Classification ID

Related Items (12)

Monotone iterative technique for the elastic systems with structural damping in Banach spaces ⋮ Mixed monotone iterative technique for damped elastic systems in Banach spaces ⋮ Existence of solutions for damped elastic systems in Banach spaces ⋮ A study on decay mild solutions for damped elastic systems in Banach spaces ⋮ Approximate controllability for a stochastic elastic system with structural damping and infinite delay ⋮ 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 ⋮ Decay mild solutions for elastic systems with structural damping involving nonlocal conditions ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Exponential decay for elastic systems with structural damping and infinite delay ⋮ A Study on Damped Elastic Systems in Banach Spaces ⋮ THE METHOD OF LOWER AND UPPER SOLUTIONS FOR DAMPED ELASTIC SYSTEMS IN BANACH SPACES

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Proof of extensions of two conjectures on structural damping for elastic systems
• Geometric theory of semilinear parabolic equations
• 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
• 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
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
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