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Rates of decay for the wave systems with time dependent damping

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  • We study the rate of decay of solutions of the wave systems with time dependent nonlinear damping. The damping is modeled by a continuous monotone function without any growth restrictions imposed at the origin and infinity. The decay rate of the energy functional is obtained by solving a nonlinear non-autonomous ODE.
    Mathematics Subject Classification: Primary: 35L05, 35B40; Secondary: 35L70, 35B35.


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