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 paper deals with the initial boundary value problem for the linear wave equation where
F, μ, g0, g1, k0, k1, u0, u1 are given functions and λ is a given constant. The paper consists …

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 …

On a nonlinear wave equation with boundary conditions of two-point type Page 1 J. Math. Anal.
Appl. 385 (2012) 1070–1093 Contents lists available at ScienceDirect Journal of Mathematical …

This paper is devoted to studying a nonlinear wave equation with boundary conditions of
two-point type. First, we state two local existence theorems and under the suitable …

We study the initial-boundary value problem for a nonlinear wave equation given by where
η≥ 0; p≥ 2, q≥ 2; K, λ are given constants and u˜ 0, u˜ 1, f, g, k are given functions. In this …

This paper deals with the blow-up in solutions of some linear wave equations with mixed
nonlinear boundary conditions. The finite time blow-up in solutions are caused from the …

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 …