Abstract
This study deals with four incorrectly posed boundary value problems for an elastic strip. The formulations assume that three scalar conditions are given on one side of the strip and one on the other side. The Fourier transform is used to find analytical solutions in all four problems. However, the direct inverse transform is not applicable, which necessitates the reduction to integral equations of the Fredholm type of the first kind. Numerical approaches associated with non-stable solutions of the derived integral equation are discussed.
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Acknowledgements
This work was supported by the grant of the Government of the Russian Federation No. 14.Z50.31.0046.
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Galybin, A.N. (2022). Integral Equations in Semi-inverse Boundary Value Problems for an Elastic Strip. In: Altenbach, H., Eremeyev, V.A., Galybin, A., Vasiliev, A. (eds) Advanced Materials Modelling for Mechanical, Medical and Biological Applications. Advanced Structured Materials, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-030-81705-3_9
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