Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
From MaRDI portal
Publication:2343015
DOI10.1007/978-3-319-17070-1zbMath1357.47003OpenAlexW1176097115MaRDI QIDQ2343015
Manfred Möller, Vyacheslav N. Pivovarchik
Publication date: 30 April 2015
Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-17070-1
eigenvaluesinverse problemsSturm-Liouville problemsquadratic operator pencilsRegge problemdamped vibrationsdifferential operators on Sobolev spacesHermite-Biehler functions
Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Applications of operator theory to differential and integral equations (47N20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)
Related Items (54)
Distinguishing cospectral quantum graphs by scattering ⋮ On multiplicities of eigenvalues of a spectral problem on a prolate tree ⋮ An inverse three spectra problem for Sturm-Liouville operators ⋮ Reconstruction of the differential operator with spectral parameter in the boundary condition ⋮ Pseudo numerical ranges and spectral enclosures ⋮ On the local solvability and stability for the inverse spectral problem of the generalized Dirichlet-Regge problem ⋮ On Ambarzumian type theorems for tree domains ⋮ Inverse Sturm-Liouville problem for a star graph by three spectra ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices. II. ⋮ Dependence of eigenvalues of fourth-order boundary value problems with transmission conditions ⋮ The inverse spectral problem for Jacobi-type pencils ⋮ Functional equations related to sine type functions ⋮ Higher-order interlacing for matrix-valued meromorphic Herglotz functions ⋮ Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition ⋮ On three spectra problem and Ambarzumian's theorem ⋮ Inverse eigenvalue problems for a damped Stieltjes string with mixed data ⋮ On the exponential stability of Beck's problem on a star-shaped graph ⋮ On multiplicities of eigenvalues of a boundary value problem on a snowflake graph ⋮ Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients ⋮ Stability of a flexible missile and asymptotics of the eigenvalues of fourth order boundary value problems ⋮ Recovering the shape of a quantum graph ⋮ Spectral determinants and an Ambarzumian type theorem on graphs ⋮ On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces ⋮ Spectral properties for the Klein-Gordon Hamiltonian in charged black hole backgrounds ⋮ Damped star graphs of Stieltjes strings ⋮ Asymptotics of the eigenvalues of a fourth order differential operator with eigenvalue dependent and periodic boundary conditions ⋮ On continuous parameter dependence of roots of analytic functions ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ \((n,\varepsilon)\)-condition spectrum of operator pencils ⋮ An Ambarzumian-type theorem on graphs with odd cycles ⋮ ALGORITHMS FOR RECOVERY OF DIFFUSION AND STURM–LIOUVILLE OPERATORS WITH SEMI-SEPARATED BOUNDARY CONDITIONS ⋮ Unnamed Item ⋮ Inverse spectral problems for the generalized Robin-Regge problem with complex coefficients ⋮ Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph ⋮ Orthogonal polynomials associated with some Jacobi-type pencils ⋮ On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs ⋮ Recovery of a quadratic analytic pencil ⋮ A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph ⋮ Unnamed Item ⋮ Self-adjoint fourth order differential operators with eigenvalue parameter dependent and periodic boundary conditions ⋮ New sufficient conditions for the computation of generalized eigenvalues ⋮ On spectra of quadratic operator pencils with rank one gyroscopic linear part ⋮ Direct and inverse spectral problems for a star graph of Stieltjes strings damped at a pendant vertex ⋮ Higher order Nevanlinna functions and the inverse three spectra problem ⋮ On the spectrum of linear operator pencils ⋮ On Recovering Differential Operators on a Closed Set from Spectra ⋮ A factorization of a quadratic pencils of accretive operators and applications ⋮ The pseudo-spectrum of operator pencils ⋮ Spectral properties of the Sturm-Liouville operator with a spectral parameter quadratically included in the boundary condition ⋮ On multiplicity of eigenvalues in quantum graph theory ⋮ Inverse problem for a Stieltjes string damped at an interior point ⋮ Asymptotic Formulae for Weight Numbers of the Sturm – Liouville Boundary Problem on a Star-shaped Graph ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition ⋮ Spectral analysis of the matrix Sturm-Liouville operator
This page was built for publication: Spectral theory of operator pencils, Hermite-Biehler functions, and their applications
