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Rational energy decay rate for the wave equation with delay term on the dynamical control

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Abstract We consider the wave equation with a delay term in the dynamical control. If the delay term is small enough, we establish the strong stability of this system, but… Click to show full abstract

Abstract We consider the wave equation with a delay term in the dynamical control. If the delay term is small enough, we establish the strong stability of this system, but show that it is not exponentially stable. We then prove that the system with delay has the same rational decay rate than the one without delay.

Keywords: term dynamical; delay; equation delay; delay term; wave equation

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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