Energy decay of solutions for a wave equation with a constant weak delay and a weak internal feedback

Energy decay of solutions for viscoelastic wave equations with a dynamic boundary and delay term

“…Motivated by the previous works, in the present paper we investigate problem (1.1) in which we generalize the results obtained in [31] by supposing new conditions with which the global existence and stability results are assured. The stable set is used to prove the existence result and Nakao's technique to establish energy decay rates.…”

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

“…Motivated by the result in [3], where an energy decay estimate is established for a wave equation with constant feedback (τ ≡ constant) and h ≡ 0, we establish a stability result for Problem (1.1)-(1.3). The present paper improved and extended the results in [6,17] for plate equations and the results in [3,18] for wave equations. This paper is organized as follows: in Sect.…”

“…For existence and stability results for the wave equation with time-varying weights and constant time feedback, see [2,3,12] and references therein.…”

Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights

“…With a weight depending on time, µ 1 (t), µ 2 (t) and constant time delay, this problem was studied in [2], where the existence of solution was made by Faedo-Galerkin method and a decay rate estimate for the energy was given by using the multiplier method.…”