article · Evolution equations and control theory
The current paper investigates the question of stabilizability of the Kawahara equation with time-varying delay in the internal feedback. Under specific assumptions regarding the time-varying delay, we establish that the studied system is well-posed. Moreover, using an appropriate Lyapunov functional, we prove the exponential stability result. Finally, we present some conclusions.
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DOI: 10.3934/eect.2024044
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