On the completeness of a system of elementary solutions of the biharmonic equation in a semi-strip

DOI10.1016/0021-8928(73)90116-0zbMath0296.35035OpenAlexW1569343054MaRDI QIDQ1213568

Victor Yudovich, Yury A. Ustinov

Publication date: 1973

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(73)90116-0

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35)

Related Items (10)

The method of homogeneous solutions and biorthogonal expansions in the plane problem of the theory of elasticity for an orthotropic body ⋮ The axisymmetric problem of the theory of elasticity for a non-uniform plate of variable thickness ⋮ Completeness of elementary solutions to a class of second order operator-differential equations ⋮ Elliptic equations in Hilbert space and associated spectral problems ⋮ Asymptotic behavior of the solution of an axisymmetric problem of elasticity theory for a sphere with variable elasticity modules ⋮ Unnamed Item ⋮ Asymptotic integration of nonlinear equations of cylindrical panel vibrations ⋮ On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics ⋮ Biorthogonal expansions in the first fundamental problem of elasticity theory ⋮ Analysis of a three-dimensional problem of the theory of elasticity for an inhomogeneous truncated hollow cone

Cites Work

• On some mathematical principles in the linear theory of damped oscillations of continua II
• The asymptotic behavior of the vorticity far away from a body in a plane flow of viscous fluid
• A boundary-layer theory for elastic plates
• The action of a die on an elastic layer of finite thickness
• The state of stress in a thin plate
• The state op stress in a thick plate
• On the behavior of the solution of the first fundamental problem of the theory of elasticity for a long rectangular plate
• Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity
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