Asymptotic and spectral analysis of non‐selfadjoint operators generated by a filament model with a critical value of a boundary parameter

DOI10.1002/mma.352zbMath1138.47303OpenAlexW2100825466MaRDI QIDQ4800387

Marianna A. Shubov

Publication date: 3 April 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.352

zbMATH Keywords

integral equationfilamentsnon-self-adjoint operatorbeam modelcritical value of boundary parameterideal filament

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (4)

Spectral properties of a fourth order differential equation ⋮ On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Estimations of solutions of the Sturm-Liouville equation with respect to a spectral parameter ⋮ On the completeness of root vectors of a certain class of differential operators

Cites Work

• Reconstruction of the potential of the Sturm-Liouville equation from three spectra of boundary value problems
• Resonances in the scattering of acoustic waves by a spherical inhomogeneity of the density

This page was built for publication: Asymptotic and spectral analysis of non‐selfadjoint operators generated by a filament model with a critical value of a boundary parameter