Geodesic
Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 131-143

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Solvability of a system of nonlinear second order partial differential equations with given initial conditions is considered in the paper. Reduction of the initial system of equations to one nonlinear operator equation is used to study the problem. The solvability is established with the use of the principle of contracting mappings.
Keywords: system of nonlinear differential equations, equilibrium equations, integral representations, existence theorem. 
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     author = {Marat G. Ahmadiev and Samat N. Timergaliev and Liliya S. Kharasova},
     title = {Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow {Timoshenko-type} shells},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a0/}
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Marat G. Ahmadiev; Samat N. Timergaliev; Liliya S. Kharasova. Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 131-143. http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a0/