Remark on the decay for damped string and beam equations
Non-Linear Analysis
Nonlinear initial-boundary value problems
Non-Linear Analysis
Finite difference approximate solutions for the strongly damped extensible beam equations
Applied Mathematics and Computation
Finite element Galerkin solutions for the strongly damped extensible beam equations
The Korean Journal of Computational & Applied Mathematics
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An initial boundary value problem is posed for the Kirchhoff type integro-differential equation, which describes the dynamic state of a beam. To approximate the solution with respect to a spatial variable the Galerkin method is used the error of which is estimated.