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About partial boundary dissipation to Timoshenko system with delay
Author(s) -
Ochoa Ochoa Elena,
Gómez Ávalos Gerardo,
Muñoz Rivera Jaime E.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6654
Subject(s) - mathematics , dissipation , dissipative system , exponential stability , mathematical analysis , boundary value problem , boundary (topology) , zero (linguistics) , stability (learning theory) , exponential function , exponential growth , physics , nonlinear system , linguistics , philosophy , quantum mechanics , machine learning , computer science , thermodynamics
We consider the Timoshenko model with partial dissipative boundary condition with delay, and we prove that the solution decays exponentially to zero, provided the wave speed are equal; this improve earlier result due to Bassam et al and Muñoz Rivera and Naso. Moreover, consider the exponential stability to the corresponding semilinear problems.