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A Suspension Bridge Problem: Existence and Stability
Conference proceeding

A Suspension Bridge Problem: Existence and Stability

Salim A. Messaoudi and Soh Edwin Mukiawa
MATHEMATICS ACROSS CONTEMPORARY SCIENCES, Vol.190, pp.151-165
Springer Proceedings in Mathematics & Statistics
01/01/2017
DOI: https://doi.org/10.1007/978-3-319-46310-0_9

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
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 dut, where delta > 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.

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