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Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data
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Igor Chudinovich
Published/Copyright:
March 10, 2010
Abstract
The existence of distributional solutions is investigated for the time-dependent bending of a plate with transverse shear deformation under mixed boundary conditions. The problem is then reduced to nonstationary boundary integral equations and the existence and uniqueness of solutions to the latter are studied in appropriate Sobolev spaces.
Received: 2003-03-06
Published Online: 2010-03-10
Published in Print: 2003-September
© Heldermann Verlag
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Articles in the same Issue
- On Fourier Series in Eigenfunctions of Elliptic Boundary Value Problems
- On the Mathematical Basis of the Linear Sampling Method
- Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity
- Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data
- Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions
- About Asymptotic and Oscillation Properties of the Dirichlet Problem for Delay Partial Differential Equations
- The Superstability of the Generalized D'alembert Functional Equation
- First Order Partial Functional Differential Equations with Unbounded Delay
- The Dirichlet Problem for Harmonic Functions with Boundary Values from Zygmund Classes
- On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front
- A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields
- A Bound for Reflections Across Jordan Curves
- A Direct Method for Boundary Integral Equations on a Contour with a Peak
- On Two-Point Boundary Value Problems for Two-Dimensional Differential Systems with Singularities
