2024
DOI: 10.1515/math-2024-0042
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On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Mohammad M. Al-Gharabli

Abstract: In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is suspended by the suspenders. We use the multiplier method to establish explicit and generalized decay results, without imposing restrictive growth assumption near the origin on the damping terms. Our results substantially improve, extend, and generalize some ea… Show more

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