A method of integral equations in nonlinear boundary-value problems for flat shells of the Timoshenko type with free edges
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Publication:2399443
DOI10.3103/S1066369X17040089zbMath1391.74146MaRDI QIDQ2399443
Publication date: 23 August 2017
Published in: Russian Mathematics (Search for Journal in Brave)
singular integral equationsintegral equationsboundary problemexistence theoremgeneralized problem solutionintegral imagesequilibrium equations systemgeneralized shiftsTimoshenko type shell
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
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 ⋮ 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
- 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
- Solvability of physically and geometrically nonlinear problem of the theory of sandwich plates with transversally-soft core
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