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Existence of the residual functional derivative with respect to a coordinate of gap point of medium. (English) Zbl 1325.35285

Summary: In the example of the inverse problem for the system of differential equations ofthe elasticity theory for horizontally stratified media, the existence of the residual functional derivative with respect to a coordinate of gap point of medium is proved, and the mathematical expression is obtained for this derivative. The model of the horizontally stratified medium with any kind of anisotropy is considered.

MSC:

35R30 Inverse problems for PDEs
74G75 Inverse problems in equilibrium solid mechanics
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