Geodesic
On Resolving Boundary Value Problems of Nonlinear Theory for Timoshenko Types Shallow Shells
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 115-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article is devoted to proving the existence of solutions of geometrically nonlinear boundary value problem for Timoshenko type shallow shells which take into account the deformations of cross displacements. Equilibrium equations are reduced to a system of nonlinear singular integral equations on flat region, the resolution of which is established with the help of compressed reflections principle.
Keywords: boundary value problem, Timoshenko type shallow shells, equilibrium equations, generalized solution, operator, integral equations, compressed reflections principle. 
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     title = {On {Resolving} {Boundary} {Value} {Problems} of {Nonlinear} {Theory} for {Timoshenko} {Types} {Shallow} {Shells}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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S. N. Timergaliev. On Resolving Boundary Value Problems of Nonlinear Theory for Timoshenko Types Shallow Shells. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 115-123. http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a11/

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