Regular perturbation of an operator pencil

DOI10.1007/s10958-016-3154-xzbMath1372.35206OpenAlexW2556911160MaRDI QIDQ509543

I. Kh. Khusnullin, A. R. Bikmetov, Tatiana P. Chechkina

Publication date: 17 February 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3154-x

zbMATH Keywords

Dirichlet conditioneigenvalue approximationSteklov condition

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• On singular perturbations of a Steklov-type problem with asymptotically degenerate spectrum
• Plane scalar analog of linear degenerate hydrodynamic problem with nonperiodic microstructure of free surface
• Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating non-periodic boundary conditions
• Non-periodic boundary homogenization and "light" concentrated masses
• On eigenvibrations of a body with “light” concentrated masses on the surface
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