On the existence of solutions to geometrically nonlinear problems for shallow Timoshenko-type shells with free edges

DOI10.3103/S1066369X14030049zbMath1307.35297MaRDI QIDQ465017

Publication date: 30 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Sobolev spaces integral equations boundary value problem operator integral representations holomorphic functions existence theorem generalized displacements generalized problem solution system of equilibrium equations Timoshenko-type shell

Mathematics Subject Classification ID

Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (12)

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 ⋮ A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges ⋮ 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 ⋮ 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 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 existence of solutions of nonlinear equilibrium problems on shallow inhomogeneous anisotropic shells of the Timoshenko type ⋮ On the problem of solvability of nonlinear boundary value problems for arbitrary isotropic shallow shells of the Timoshenko type with free edges ⋮ Solvability of One Nonlinear Boundary-value Problem for a System of Differential Equations of the Theory of Shallow Timoshenko-type Shells ⋮ On the existence of solutions to boundary value problems for nonlinear equilibrium equations of shallow anisotropic shells of Timoshenko type in Sobolev space ⋮ Solvability of geometrically nonlinear boundary-value problems for shallow shells of Timoshenko type with pivotally supported edges

Cites Work

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