Solvability of geometrically nonlinear boundary-value problems for shallow shells of Timoshenko type with pivotally supported edges

DOI10.3103/S1066369X15050060zbMath1322.35028MaRDI QIDQ2354934

Yanyan Li

Publication date: 27 July 2015

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

zbMATH Keywords

Sobolev spacesintegral equationsboundary-value problemoperatorgeneralized problem solutionintegral imagesequilibrium equations systemgeneralized shiftsholomorphic functions existence theoremTimoshenko type shell

Mathematics Subject Classification ID

Shells (74K25) Boundary value problems for second-order elliptic systems (35J57)

Related Items (2)

On the existence of solutions of nonlinear boundary value problems for inhomogeneous 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

Cites Work

• A theory of thin shells with finite displacements and deformations based on a modified Kirchhoff-Love model
• 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
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