On the existence of solutions of nonlinear boundary value problems for inhomogeneous isotropic shallow shells of the Timoshenko type with free edges

DOI10.1134/S1995080221010054zbMath1460.35340OpenAlexW3134014093MaRDI QIDQ2656402

M. G. Akhmadiev, S. N. Timergaliev, A. N. Uglov, Rinat S. Yakushev

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221010054

zbMATH Keywords

integral equationsnonlinear boundary value problemoperatorholomorphic functionsexistence theoremequilibrium equationsintegral of Cauchy typegeneralized solution of a boundary value probleminhomogeneous isotropic shell of Timoshenko type

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Shells (74K25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Solvability of Nonlinear Equilibrium Problems for Timoshenko-type Shallow Shells in Curvilinear Coordinates

Cites Work

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• Study of the solvability of a boundary value problem for the system of nonlinear differential equations of the theory of shallow shells of the Timoshenko type
• Proof of the solvability of a system of partial differential equations in the nonlinear theory of shallow shells of Timoshenko type
• On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges
• Application of Riemann-Hilbert problem solutions to a study of nonlinear boundary value problems for Timoshenko type inhomogeneous shells with free edges
• Method of integral equations for studying the solvability of boundary value problems for the system of nonlinear differential equations of the theory of Timoshenko type shallow inhomogeneous shells
• On existence of solutions of nonlinear equilibrium problems on shallow inhomogeneous anisotropic shells of the Timoshenko type
• On the existence of solutions of a nonlinear boundary value problem for the system of partial differential equations of the theory of Timoshenko type shallow shells with free edges
• Solvability of geometrically nonlinear boundary-value problems for shallow shells of Timoshenko type with pivotally supported edges
• A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges

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