On a shock problem involving a nonlinear viscoelastic bar

We treat an initial boundary value problem for a nonlinear wave equation utt−uxx+K|u|αu+λ|ut|βut=f(x,t) in the domain 0<x<1, 0<t<T. The boundary condition at the boundary point x=0 of the domain for a solution u involves a time convolution term of the boundary value of u at...

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Bibliographic Details
Main Authors: Tran Ngoc Diem, Alain Pham Ngoc Dinh, Nguyen Thanh Long
Format: Article
Language:English
Published: SpringerOpen 2005-11-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP.2005.337