Stability of a suspension bridge with structural damping

Zayd Hajjej, Salim A. Messaoudi Annales Polonici Mathematici MSC: 35L51, 35B41. DOI: 10.4064/ap191023-4-2 Published online: 4 May 2020


We investigate the exponential stability of a rectangular plate equation assumed to be hinged on its vertical edges and free on its remaining horizontal edges. Our problem models the deformation of a suspension bridge under a structural damping.


  • Zayd HajjejDepartment of Mathematics
    College of Sciences
    King Saud University
    Riyadh, Saudi Arabia
    Department of Mathematics
    Faculty of Sciences of Gabes
    University of Gabes
    6029 Gabes, Tunisia
  • Salim A. MessaoudiDepartment of Mathematics
    College of Sciences
    University of Sharjah
    27272 Sharjah, UAE

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