In this work, we consider a semilinear problem describing the motion of a suspension bridge in the downward direction in the presence of its hanger restoring force h(u) and a linear damping δut, where δ > 0 is a constant. By using the semigroup theory, we establish the well posedness. We also use the multiplier method to prove a stability result.
CITATION STYLE
Messaoudi, S. A., & Mukiawa, S. E. (2017). A suspension bridge problem: Existence and stability. In Springer Proceedings in Mathematics and Statistics (Vol. 190, pp. 151–165). Springer New York LLC. https://doi.org/10.1007/978-3-319-46310-0_9
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