The following initial boundary value problem is considered \[ \begin{gathered} u_{tt} - \Delta u
- \lambda \Delta u_t + f(u) = 0,\quad (x,t) \in \Omega \times ] {0,T} [,\quad \lambda > 0, \hfill \\ u …

In this paper we consider a nonlinear wave equation with the Kirchoff–Carrier operator,(1) u
tt=(b 0+ B (‖∇ u‖ 2)) Δu= f (x, t, u, ux, ut), x∈ Ω=(0, 1), 0< t< T,(2) u (0, t)= u (1, t)= 0,(3) u …

THE FOLLOWING initial and boundary value problem in one space dimension is
considered: u,-u,,+ Ic4, 1a sgn (c4,)= 0(x7 t) E 10, 1 [x 10, T](1.1) u,(O, r)= g (t), u (1, t)= 0(1.2) …

In this paper we consider the following nonlinear wave equation: where h0> 0, h1⩾ 0 are
given constants and B, f, u˜ 0, u˜ 1 are given functions. In Eq.(1), the nonlinear terms B (t …

We treat an initial boundary value problem for a nonlinear wave equation in the domain,.
The boundary condition at the boundary point of the domain for a solution involves a time …

In this paper, a high-order iterative scheme is established in order to get a convergent
sequence at a rate of order N (N⩾ 1) to a local unique weak solution of a nonlinear Kirchhoff …

The paper deals with the initial-boundary value problem for the linear wave equationwhere
K, λ are given constants and u0, u1, f, μ are given functions, the unknown function u (x, t) and …

In this paper we consider the following nonlinear wave equation where μ, f, u˜ 0, u˜ 1 are
given functions and h0> 0, h1≥ 0 are given constants. In Eq.(1) 1, the nonlinear term …

In this paper we consider the following nonlinear wave equation [Formula: see text][Formula:
see text][Formula: see text] where h0, h1 are given nonnegative constants and B, f, u ̃ 0, u ̃ 1 …

In this paper, we consider the following nonlinear wave equation where u˜ 0, u˜ 1, μ, f, g are
given functions. To problem (1), we associate a linear recursive scheme for which the …