Irregular boundary value problems with discontinuous coefficients and the eigenvalue parameter

DOI10.1007/S00009-009-0011-XzbMath1191.34016OpenAlexW2037838435MaRDI QIDQ1038598

Yakov Yakubov, Mustafa Kandemir, Oktay Sh. Mukhtarov

Publication date: 18 November 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0011-x

zbMATH Keywords

discontinuous coefficientsboundary value problemtransmission conditionseigenvalue parameter

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discontinuous ordinary differential equations (34A36) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem ⋮ Generalized Fourier series as Green's function expansion for multi-interval Sturm-Liouville systems ⋮ Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter ⋮ MINIMIZATION PRINCIPLE AND GENERALIZED FOURIER SERIES FOR DISCONTINUOUS STURM-LIOUVILLE SYSTEMS IN DIRECT SUM SPACES ⋮ Irregular boundary value problems revisited ⋮ Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems ⋮ Manypoint boundary value problems for elliptic differential-operator equations with interior singularities ⋮ DISCONTINUOUS STURM-LIOUVILLE PROBLEMS INVOLVING AN ABSTRACT LINEAR OPERATOR ⋮ Solvability and coerciveness of multi-point Sturm-Liouville problems with abstract linear functionals ⋮ A new type Sturm-Liouville problem with an abstract linear operator contained in the equation

Cites Work

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• Coerciveness of the discontinuous initial-boundary value problem for parabolic equations
• Analytic properties of the scattering matrix
• Construction of potentials from resonance parameters
• General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation
• Irregular boundary value problems for ordinary differential equations

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