Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control
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Mohamed Ali Ayadi
Abstract
In this paper, we consider the Timoshenko-type system with nonlinear boundary dissipation. We prove the existence and uniqueness of the solution and we establish an explicit and general decay result for a wide class of the relaxation function, which depends on the length of the beam.
Acknowledgements
The authors are grateful to the reviewer’s valuable comments that helped to improve the manuscript.
References
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Articles in the same Issue
- Frontmatter
- On a Caputo-type fractional derivative
- Well-posedness, blow-up dynamics and controllability of the classical chemotaxis model
- Sine and cosine type functional equations on hypergroups
- Solvability of positive solutions for a systems of nonlinear fractional order BVPs with p-Laplacian
- On commutativity of rings and Banach algebras with generalized derivations
- Extension of Zelazko’s theorem to n-Jordan homomorphisms
- Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control
