Krein's theorems for a dissipative boundary value transmission problem

DOI10.1007/s11785-011-0180-zzbMath1425.34100OpenAlexW2032929769MaRDI QIDQ371825

Ekin Ugurlu, Elgiz Bairamov

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0180-z

zbMATH Keywords

eigenvalue problemboundary value problemtransmission conditionKrein's theorem

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items

Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales ⋮ Regular fractional dissipative boundary value problems ⋮ Dissipative operators with impulsive conditions ⋮ Green function and resolvent operator of a Schrödinger equation with general point interaction ⋮ A study of impulsive discrete Dirac system with hyperbolic eigenparameter ⋮ Discrete impulsive Sturm-Liouville equation with hyperbolic eigenparameter ⋮ Scattering Properties of Impulsive Difference Dirac Equations ⋮ The one-dimensional Schrödinger operator on bounded time scales ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ An examination of boundary value transmission problem with quadratic spectral parameter ⋮ Direct approach for the characteristic function of a dissipative operator with distributional potentials ⋮ On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ A new method for dissipative dynamic operator with transmission conditions ⋮ Completeness of the rootvectors of a dissipative Sturm-Liouville operators on time scales ⋮ Completeness theorem for discontinuous Dirac systems ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Scattering theory of impulsive Sturm-Liouville equation in quantum calculus ⋮ Krein's Theorem for the Dissipative Operators with Finite Impulsive Effects ⋮ Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions ⋮ Scattering theory of impulsive Sturm-Liouville equations

Cites Work

• The determinants of dissipative Sturm-Liouville operators with transmission conditions
• Singular self-adjoint Sturm-Liouville problems
• Fundamental solutions and eigenvalues of a boundary-value problem with transmission conditions
• The determinants of perturbation connected with a dissipative Sturm- Liouville operator
• Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
• Singular Self-Adjoint Sturm–Liouville Problems: II. Interior Singular Points
• Green function of discontinuous boundary‐value problem with transmission conditions
• Dissipative operators generated by the Sturm-Liouville differential expression in the Weyl limit circle case
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item