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About partial boundary dissipation to Timoshenko system with delay
Authors:Elena Ochoa Ochoa  Gerardo Gómez Ávalos  Jaime E. Muñoz Rivera
Affiliation:1. Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Avenida Collao 1200, Concepción, Chile;2. Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Andres Bello, Autopista Concepción-Talcahuano 7100, Talcahuano, Chile
Abstract: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.
Keywords:asymptotic behavior  delay  exponential stability  partial dissipation  Timoshenko beam
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