On the solvability of nonlinear boundary value problems for the system of differential equations of equilibrium of shallow anisotropic Timoshenko-type shells with free edges

DOI10.1134/S0012266121040066zbMath1465.35106OpenAlexW3164251523MaRDI QIDQ2027301

S. N. Timergaliev

Publication date: 26 May 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121040066

zbMATH Keywords

free edgesTimoshenko shear modelelastic shallow inhomogeneous anisotropic shells

Mathematics Subject Classification ID

Shells (74K25) Integral representations of solutions to PDEs (35C15) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items

On the existence of solutions of nonlinear boundary value problems for a system of differential equilibrium equations for Timoshenko-type shells in isometric coordinates ⋮ On the existence of solutions to boundary value problems for nonlinear equilibrium equations of shallow anisotropic shells of Timoshenko type in Sobolev space

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
• 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 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
• A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges

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