Displaying similar documents to “On weak solution to a hyperbolic differential inclusion with nonmonotone discontinuous nonlinear term.”

On an elasto-dynamic evolution equation with non dead load and friction

Oanh Chau (2006)

Applications of Mathematics

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In this paper, we are interested in the dynamic evolution of an elastic body, acted by resistance forces depending also on the displacements. We put the mechanical problem into an abstract functional framework, involving a second order nonlinear evolution equation with initial conditions. After specifying convenient hypotheses on the data, we prove an existence and uniqueness result. The proof is based on Faedo-Galerkin method.