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The document establishes the existence and uniqueness of generalized solutions to the initial-boundary value problem for the Euler-Bernoulli beam model, which involves a fourth-order partial differential equation with discontinuous coefficients. It employs functional analytic techniques to analyze regularized problems and proves coherence properties of the generalized solutions with classical solutions. The study also discusses the application of Colombeau generalized functions to handle the complexities ar

Author

r.mokhtari

Language

EN