Add to ORKGWe prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions for the nonlinear beam equation with memory and weak damping utt +∆2u− M(‖∇u‖2L2(Ωt))∆u + ∫ t 0 g(t − s)∆u(s)ds + αut = 0 in Q in a noncylindrical domain of Rn+1 (n ≥ 1) under suitable hypothesis on the scalar functions M and g, and where α is a positive constant. We establish existence and uniqueness of regular solutions for any n ≥ 1. 1
A model for the dynamics of the Gao nonlinear beam, which allows for buckling, is studied. Existen...
The equation utt +∆ 2u+ u = f(u) on Rn+1 (1.1) may be thought of as a nonlinear beam equation. In th...
AbstractIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak so...
We prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions ...
We consider the nonlinear beam equation utt + a(x)ut − f(ux)x + uxxxx = 0 in a bounded interval (0, ...
We will consider a class of nonlinear beam equation and we will prove the existence and decay weak s...
Abstract This paper deals with the initial boundary value problem for the nonlinear beam equation wi...
AbstractIn this paper we prove the exponential decay in the case n>2, as time goes to infinity, of r...
In this paper, we study the critical exponent for the beam equation with nonlinear memory, i.e., utt...
We will consider a class of nonlinear beam equation and we will prove the existence and decay weak s...
Simultaneously, considering the viscous effect of material, damping of medium, and rotational inerti...
This paper deals with the initial boundary value problem for a class of nonlinear Kirchhoff-type equ...
AbstractIn this note we obtain another form of Morawetz-type identity by Lagrange method and present...
AbstractWe study the initial value problem for some semilinear damped beam equation. In Takeda and Y...
summary:It is proved that any weak solution to a nonlinear beam equation is eventually globally osci...
A model for the dynamics of the Gao nonlinear beam, which allows for buckling, is studied. Existen...
The equation utt +∆ 2u+ u = f(u) on Rn+1 (1.1) may be thought of as a nonlinear beam equation. In th...
AbstractIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak so...
We prove the exponential decay in the case n> 2, as time goes to infinity, of regular so-lutions ...
We consider the nonlinear beam equation utt + a(x)ut − f(ux)x + uxxxx = 0 in a bounded interval (0, ...
We will consider a class of nonlinear beam equation and we will prove the existence and decay weak s...
Abstract This paper deals with the initial boundary value problem for the nonlinear beam equation wi...
AbstractIn this paper we prove the exponential decay in the case n>2, as time goes to infinity, of r...
In this paper, we study the critical exponent for the beam equation with nonlinear memory, i.e., utt...
We will consider a class of nonlinear beam equation and we will prove the existence and decay weak s...
Simultaneously, considering the viscous effect of material, damping of medium, and rotational inerti...
This paper deals with the initial boundary value problem for a class of nonlinear Kirchhoff-type equ...
AbstractIn this note we obtain another form of Morawetz-type identity by Lagrange method and present...
AbstractWe study the initial value problem for some semilinear damped beam equation. In Takeda and Y...
summary:It is proved that any weak solution to a nonlinear beam equation is eventually globally osci...
A model for the dynamics of the Gao nonlinear beam, which allows for buckling, is studied. Existen...
The equation utt +∆ 2u+ u = f(u) on Rn+1 (1.1) may be thought of as a nonlinear beam equation. In th...
AbstractIn this paper,we prove the existence, uniqueness and uniform stability of strong and weak so...