Stability result of a suspension bridge Problem with time-varying delay and time-varying weight

Abstract

In this paper, we study a plate equation as a model for a suspension bridge with time-varying delay and time-varying weights. Under some conditions on the delay and weight functions, we establish a stability result for the associated energy functional. The present work extends and generalizes some similar results in the case of wave or plate equations.

Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback

“…Furthermore, in [4,24], the authors presented some existence and stability results for wave equation with internal time-varying delay and time-varying weights; and for suspension bridge models, see Mukiawa [3,27,29,30].…”

“…Motivated by the works in [3,6,29], in the current paper, we are concerned with the stability result for the thermoelastic Timoshenko system with suspension cables, timevarying internal feedback, and time-varying weight given in (1.1)-(1.3). The result in [6] is a particular case of our result in this paper.…”