Completeness of one two-interval boundary value problem with transmission conditions

zbMath1324.34178arXiv1312.3052MaRDI QIDQ5250887

Kadriye Aydemir, Oktay Sh. Mukhtarov

Publication date: 22 May 2015

Full work available at URL: https://arxiv.org/abs/1312.3052

zbMATH Keywords

Sturm-Liouville problemstransmission conditionsexpansions theorem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems ⋮ The basis property of the system of weak eigenfunctions of a discontinuous Sturm-Liouville problem ⋮ On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions ⋮ An inverse spectral problem of Sturm-Liouville problems with transmission conditions ⋮ Regular third-order boundary value problems ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Manypoint boundary value problems for elliptic differential-operator equations with interior singularities ⋮ OSCILLATION PROPERTIES FOR NON-CLASSICAL STURM-LIOUVILLE PROBLEMS WITH ADDITIONAL TRANSMISSION CONDITIONS ⋮ The representation of the solution of Sturm-Liouville equation with discontinuity conditions ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ Scattering analysis and spectrum of discrete Schrödinger equations with transmission conditions ⋮ A new type Sturm-Liouville problem with an abstract linear operator contained in the equation

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