scientific article; zbMATH DE number 3357483
From MaRDI portal
Publication:5631640
zbMath0225.47008MaRDI QIDQ5631640
Publication date: 1971
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)
Related Items (only showing first 100 items - show all)
Discrete spectrum and principal functions of non-selfadjoint differential operator ⋮ Unnamed Item ⋮ Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach ⋮ General trace formula for perturbations from the Gilbert-Schmidt class ⋮ On convergence of spectral expansions of Dirac operators with regular boundary conditions ⋮ A nonlinear eigenmode solver for linear viscoelastic structures ⋮ Unnamed Item ⋮ To the problem of a point source in an inhomogeneous medium ⋮ An inverse source problem for a two terms time-fractional diffusion equation ⋮ Spectral properties of non-selfadjoint Sturm-Liouville operator equation on the real axis ⋮ Point spectrum of elliptic operators in fibered half-cylinders and the related completeness problem ⋮ Multiple Completeness of the Root Functions of the Pencils of Differential Operators with Constant Coefficients and Splitting Boundary Conditions ⋮ Unnamed Item ⋮ Random walks with internal degrees of freedom ⋮ Energy scales and black hole pseudospectra: the structural role of the scalar product ⋮ Basis property of eigenfunctions of a problem on antiplanar vibrations of a cylinder with external friction ⋮ Riesz basis property of system of root functions of second-order differential operator with involution ⋮ On basis properties of eigenfunctions of one model problem with indefinite weight ⋮ The boundary-value problem for Lavrent'ev-Bitsadze equation with two internal lines of change of a type ⋮ Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. I: Abstract theory ⋮ \(n\)-fold Fourier series expansion in root functions of a differential pencil with \(n\)-fold multiple characteristic ⋮ Asymptotic expansion for nonlinear eigenvalue problems ⋮ On the eigenfunctions and eigenvalues of a class of non-selfadjoint operators ⋮ Criteria of the uniqueness of solutions and well-posedness of inverse source problems ⋮ О полноте одной пары биортогонально сопряженных систем функций ⋮ Associated functions of a nonlinear spectral problem for a system of ordinary differential equations ⋮ Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces ⋮ On an operator pencil arising in the problem of beam oscillation with internal damping ⋮ Finite-dimensional perturbations of discrete operators and formulas for traces ⋮ Discrete simulation of a class of distributed systems using functional analytic methods ⋮ On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Spectral properties of non-selfadjoint Sturm-Liouville operator with operator coefficient ⋮ On spurious solutions in finite element approximations of resonances in open systems ⋮ Stable invariant manifolds with application to control problems ⋮ Spectral properties of some operator equations ⋮ Multiple completeness of the root functions for a certain class of ordinary differential pencils with constant coefficients ⋮ Fundamental systems for linear differential equations smoothly depending on a parameter ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators ⋮ Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string ⋮ How to express basis conditions and conditions for the equiconvergence with trigonometric series of expansions related to nonselfadjoint differential operators ⋮ On the basis property of root vectors of a perturbed self-adjoint operator ⋮ Nonlinear spectral problem for a self-adjoint vector differential equation ⋮ On the divergence of expansions in systems of root functions of the Sturm-Liouville operator with degenerate boundary conditions ⋮ On conditions for the multiple expandability of functions in the root elements of a pencil of ordinary differential operators ⋮ Multiple completeness of the root functions for a certain class of pencils of ordinary differential operators with constant coefficients ⋮ To the theory of operator-differential equations of the second order ⋮ Basis properties of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions. II ⋮ Kamke Problems. Properties of the Eigenfunctions ⋮ Spectral methods based on the least dissipative modes for wall bounded MHD flows ⋮ Sur un problème aux valeurs propres non linéaire ⋮ Complete wave operators in nonselfadjoint Kato model of smooth perturbation theory ⋮ An integral method for solving nonlinear eigenvalue problems ⋮ Sturm–Liouville problems in weighted spaces in domains with non-smooth edges. II ⋮ Completeness of elementary solutions to a class of second order operator-differential equations ⋮ Multiply degenerate exceptional points and quantum phase transitions ⋮ Green's functions at exceptional points ⋮ On multiple completeness of root functions for ordinary differential polynomial pencils with constant coefficients ⋮ On a problem for operator-differential second-order equations with nonlocal boundary condition ⋮ The property of orthogonality and energy transfer by three-dimensional eigenwaves in transversely isotropic laminated plates with and without contact with a liquid ⋮ Nonsmooth eigenfunctions in problems of mathematical physics ⋮ Elliptic equations in Hilbert space and associated spectral problems ⋮ Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations ⋮ Hill's operators with the potentials analytically dependent on energy ⋮ Linearization of spectral problems with the parameter in their boundary conditions and the properties of the M. V. Keldysh derived chains ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ Basis properties of the system of root functions of the Sturm-Liouville operator with degenerate boundary conditions. I ⋮ Nonlinear eigenvalue problems and contour integrals ⋮ On the completeness of root vectors of a certain class of differential operators ⋮ Spectral properties of quasihyperbolic bundles ⋮ On completeness of spectral subspaces of linear relations and ordered pairs of linear operators ⋮ On summation of n-tuple expansions by the Abel method ⋮ Principal functions of non-selfadjoint Sturm-Liouville problems with eigenvalue-dependent boundary conditions ⋮ Principal functions of non-selfadjoint matrix Sturm-Liouville equations ⋮ Basis and completeness theorems for the characteristic vectors of hyperbolic operator-functions ⋮ Certain tests for the degree of completeness of the root vectors of operator functions analytic in a sector ⋮ On the problem of completeness of root vectors corresponding to the two spectral series of sheaves of M. V. Keldysh ⋮ Numerical range of operator pencils and Keldysh multiple completeness ⋮ Estimates of Riesz constants for the Dirac system with an integrable potential ⋮ The change of the Jordan structure of a matrix under small perturbations ⋮ Perturbation formulas for a nonlinear eigenvalue problem for ordinary differential equations ⋮ Summability of series in root vectors of non-self-adjoint elliptic operators ⋮ The theory of operator sheaves ⋮ Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential ⋮ A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients ⋮ Asymptotic behavior of the fundamental solution of an elliptic equation with respect to a complex parameter ⋮ Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function \(s(\lambda)\) with \(S(\infty)=0\) ⋮ Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\) ⋮ Equivalence of the derived chains corresponding to a boundary-value problem on a finite interval, for polynomial operator pencils ⋮ Minimality of derivative chains, corresponding to a boundary value problem on a finite segment ⋮ Variation of the Jordan structure of G-self-adjoint operators and self- adjoint operator functions under small perturbations ⋮ Quadratic bundles of ordinary differential bundles ⋮ Spectral asymptotics of polynomial pencils of differential operators in bounded domains ⋮ Nonselfadjoint spectral problems for linear pencils \(N- \lambda P\) of ordinary differential operators with \(\lambda\)-linear boundary conditions: Completeness results ⋮ Linear independence, equivalence and minimality of root vectors for certain nonlinear spectral problems ⋮ Spectral analysis of the Redge problem ⋮ The effect of small internal and external damping on the stability of distributed non-conservative systems ⋮ Asymptotics of eigenvalues for differential operators of fractional order ⋮ Spectral stability of small amplitude solitary waves of the Dirac equation with the Soler-type nonlinearity ⋮ Spectral expansion of a non-self-adjoint differential operator on the whole axis ⋮ Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems
This page was built for publication: