Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
From MaRDI portal
Publication:4699179
DOI10.1137/S0036141098340417zbMath0931.34015OpenAlexW2033544298MaRDI QIDQ4699179
No author found.
Publication date: 23 November 1999
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141098340417
Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)
Related Items (19)
Trace formula for the matrix Sturm-Liouville operator ⋮ The regularized trace formula of the spectrum of a Dirichlet boundary value problem with turning point ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ Estimates of large eigenvalues and trace formula for the vectorial Sturm-Liouville equations ⋮ On Hill's operator with a matrix potential ⋮ On non-self-adjoint Sturm-Liouville operators with matrix potentials ⋮ A vectorial inverse nodal problem ⋮ On a fundamental system of solutions of the matrix Schrödinger equation with a polynomial energy-dependent potential ⋮ A spectral transform for the matrix Hill's equation ⋮ An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line ⋮ The Lyapunov function for Schrödinger operators with a periodic \(2\times 2\) matrix potential ⋮ Extension of Ambarzumyan's theorem to general boundary conditions ⋮ Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions ⋮ Eigenvalues of vectorial Sturm-Liouville problems with parameter dependent boundary conditions ⋮ Eigenvalue estimates and trace formulas for the matrix Hill's equation ⋮ On non-self-adjoint Sturm-Liouville operators in the space of vector functions ⋮ An inverse problem for the matrix Schrödinger equation ⋮ Spectral analysis of the matrix Sturm-Liouville operator ⋮ Direct and inverse nodal problem for differential pencil with coupled boundary conditions
This page was built for publication: Large Eigenvalues and Trace Formulas for Matrix Sturm--Liouville Problems
