Geodesic
Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 56-68

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In the nonlinear theory of shells all known existence theorems are based on the Kirchhoff–Love model. We prove a new existence theorem using the Timoshenko model.
Mots-clés : Timoshenko-type shell, Sobolev spaces
Keywords: equilibrium equations system, boundary-value problem, generalized shifts, generalized problem solution, integral images, operator, integral equations, existence theorem. 
@article{IVM_2011_8_a7,
     author = {S. N. Timergaliev},
     title = {Solvability of geometrically nonlinear boundary-value problems for the {Timoshenko-type} anisotropic shells with rigidly clamped edges},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {56--68},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_8_a7/}
}
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S. N. Timergaliev. Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2011), pp. 56-68. http://geodesic.mathdoc.fr/item/IVM_2011_8_a7/