Global existence and energy decay result for a weak viscoelastic wave equations with a dynamic boundary and nonlinear delay term

Global Existence, Asymptotic Behavior and Blow-up of Solutions for a Suspension Bridge Equation with Nonlinear Damping and Source Terms

“…Under some assumptions, he showed the solution of (1.9) decays exponentially if g behaves like a linear function, whereas the decay is polynomially otherwise. For more decay results, we refer the reader to [5,6,7,10,16,19,25,26,40,43,47,48] and the references therein. In recent years, more authors pay attention to the lower and upper bounds for blow-up time.…”

Existence and decay rates for a coupled Balakrishnan‐Taylor viscoelastic system with dynamic boundary conditions

“…For results on single wave equation with Balakrishnan‐Taylor damping , the existence of solutions and energy decay were well established; see, for instance, Clark, Feng and Kang, Ha, Kang, Park, Tatar and Zaraï, Wu, You, Zaraï and Tatar, and so on. With respect to wave equation with dynamic boundary conditions, the energy decay of solutions to wave equation with finite and infinite memories were considered by Cavalcanti et al, Feng, Ferhat and Hakem, Gerbi and Said‐Houari, Li et al, Messaoudi and Mustafa, Messaoudi and Al‐Gharabli, Wu, Zaraï et al, and so on.…”

Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions

“…Among the early results dealing with this type of boundary conditions are those of [8,9] in which the author has made contributions to this field. Recently, some authors have studied the existence and decay of solutions for a wave equation with dynamic boundary conditions [10][11][12][13].…”