About partial boundary dissipation to Timoshenko system with delay | Zendy

Ochoa Ochoa Elena | Zendy; Gómez Ávalos Gerardo | Zendy; Muñoz Rivera Jaime E. | Zendy

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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.

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