This paper deals with a hyperbolic-type equation with a logarithmic source term and
dynamic boundary condition. Given convenient initial data, we obtained the local existence …

In this paper we highlight a type of hyperbolic equation relating the logarithmic source term
with distributed delay and dynamic boundary condition. We get, under comfortable primary …

This work is devoted to studying a wave equation with degenerate nonlocal nonlinear
damping and source terms. By potential well theory, we show the asymptotic stability of …

This note aims to study the existence of the local solutions and derive a blow-up result for a
quasi-linear bi-hyperbolic equation with dynamic boundary conditions. We use the maximal …

In this paper, we study the initial boundary value problem of the visco-elastic dynamical
system with the nonlinear source term in control system. By variational arguments and an …

We consider a class of nonlinear evolution equations of second order in time, linearly
damped and with a memory term. Particular cases are viscoelastic wave, Kirchhoff and …

The Cauchy problem of one dimensional generalized Boussinesq equation is treated by the
approach of variational method in order to realize the control aim, which is the control …

The paper deals with global existence and blow-up results for a class of fourth-order wave
equations with nonlinear damping term and superlinear source term with the coefficient …

This work deals with the initial boundary value problem of linear wave equation with
dynamic boundary condition which is including logarithmic source term and nonlinear …