Krein's Theorem for the Dissipative Operators with Finite Impulsive Effects

DOI10.1080/01630563.2014.970642zbMath1329.34060OpenAlexW1984581432MaRDI QIDQ5251586

Ekin Ugurlu, Elgiz Bairamov

Publication date: 20 May 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.970642

zbMATH Keywords

boundary conditionscompletenessdissipative operatorsKrein's theoremimpulses at fixed timesimpulsive conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (13)

The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator ⋮ Regular fractional dissipative boundary value problems ⋮ Development of the finite difference method to solve a new type Sturm-Liouville problems ⋮ Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems ⋮ Scattering Properties of Impulsive Difference Dirac Equations ⋮ Direct approach for the characteristic function of a dissipative operator with distributional potentials ⋮ Spectrum and scattering function of the impulsive discrete Dirac systems ⋮ A new method for dissipative dynamic operator with transmission conditions ⋮ P, T, and PT−symmetries of impulsive Dirac systems ⋮ Bound states and spectral singularities of an impulsive Schrödinger equation ⋮ DISCONTINUOUS STURM-LIOUVILLE PROBLEMS INVOLVING AN ABSTRACT LINEAR OPERATOR ⋮ Scattering theory of impulsive Sturm-Liouville equations ⋮ A new type Sturm-Liouville problem with an abstract linear operator contained in the equation

Cites Work

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• Discrete and continuous boundary problems
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• Limit-point and limit-circle criteria for Sturm-Liouville equations with intermittently negative principal coefficients
• Green function of discontinuous boundary‐value problem with transmission conditions

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