On eigenvibrations of a body with “light” concentrated masses on the surface

DOI10.1070/RM2002v057n06ABEH000589zbMath1140.74453OpenAlexW1983668692MaRDI QIDQ4816645

E. I. Yablokova, M. Eugenia Pérez, Gregory A. Chechkin

Publication date: 10 September 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2002v057n06abeh000589

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (12)

Weakly singular Steklov condition in the multidimensional case ⋮ Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system ⋮ On the motion of a semibounded string with a point mass attached to the free end ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Regular perturbation of an operator pencil ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ Operator Pencil in a Domain with Concentrated Masses. A Scalar Analog of Linear Hydrodynamics ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem ⋮ Effective solution of the problem of motion of an infinite string with an attached point mass

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