On the characteristic values of the real component of a dissipative boundary value transmission problem

DOI10.1016/j.amc.2012.02.079zbMath1298.34163OpenAlexW2015258303MaRDI QIDQ440936

Elgiz Bairamov, Ekin Ugurlu

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.079

zbMATH Keywords

eigenvalue problemcompleteness theoremdissipative operators

Mathematics Subject Classification ID

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

Related Items (15)

Regular fractional dissipative boundary value problems ⋮ Dissipative operators with impulsive conditions ⋮ Second-order differential operators with interior singularity ⋮ On a fifth-order nonselfadjoint boundary value problem ⋮ Direct approach for the characteristic function of a dissipative operator with distributional potentials ⋮ Boundary value problems with eigenvalue-dependent boundary and 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 theorem for discontinuous Dirac systems ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Bound states and spectral singularities of an impulsive Schrödinger equation ⋮ Spectral properties of discontinuous Sturm-Liouville problems with a finite number of transmission conditions ⋮ OSCILLATION PROPERTIES FOR NON-CLASSICAL STURM-LIOUVILLE PROBLEMS WITH ADDITIONAL TRANSMISSION CONDITIONS ⋮ Krein's Theorem for the Dissipative Operators with Finite Impulsive Effects ⋮ The eigenvalue problem with interaction conditions at one interior singular point

Cites Work

• The determinants of dissipative Sturm-Liouville operators with transmission conditions
• Fundamental solutions and eigenvalues of a boundary-value problem with transmission conditions
• Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
• Green function of discontinuous boundary‐value problem with transmission conditions
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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