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

DOI10.1134/S0012266119020095zbMath1416.35265OpenAlexW2933170983MaRDI QIDQ2002679

S. N. Timergaliev

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119020095

zbMATH Keywords

contraction mapping principlefree edgesTimoshenko shear model

Mathematics Subject Classification ID

Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (6)

On the existence of solutions of nonlinear boundary value problems for inhomogeneous isotropic shallow shells of the Timoshenko type with free edges ⋮ On the existence of solutions of nonlinear boundary value problems for a system of differential equilibrium equations for Timoshenko-type shells in isometric coordinates ⋮ Solvability of Nonlinear Equilibrium Problems for Timoshenko-type Shallow Shells in Curvilinear Coordinates ⋮ 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 ⋮ On the problem of solvability of nonlinear boundary value problems for arbitrary isotropic shallow shells of the Timoshenko type with free edges ⋮ 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
• Solvability of geometrically nonlinear boundary-value problems for the Timoshenko-type anisotropic shells with rigidly clamped edges
• 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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