Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition

DOI10.1016/j.mcm.2011.07.039zbMath1235.65083OpenAlexW2080796943MaRDI QIDQ410055

Azad Bayramov, Erdoğan Şen

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.07.039

zbMATH Keywords

transmission conditionsasymptotics of eigenvalues and eigenfunctionsdifferential equation with retarded argument

Mathematics Subject Classification ID

Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary value problems for functional-differential equations (34K10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (13)

Asymptotic behaviour of eigenvalues and eigenfunctions of a Sturm-Liouville problem with retarded argument ⋮ Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument ⋮ A class of second-order differential operators with eigenparameter-dependent boundary and transmission conditions ⋮ Traces and inverse nodal problems for a class of delay Sturm–Liouville operators ⋮ ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS ⋮ Spectral problem for the Sturm-Liouville operator with retarded argument containing a spectral parameter in the boundary condition ⋮ Spectrum, trace and nodal points of a Sturm-Liouville type delayed differential operator with interface conditions ⋮ On a Sturm–Liouville type problem with retarded argument ⋮ Spectral properties of boundary-value-transmission problems with a constant retarded argument ⋮ Spectral properties of discontinuous Sturm-Liouville problems with a finite number of transmission conditions ⋮ Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem ⋮ Asymptotic properties of a new Sturm–Liouville problem with retarded argument ⋮ ASYMPTOTIC DISTRIBUTION OF EIGENVALUES AND EIGENFUNCTIONS OF A NONLOCAL BOUNDARY VALUE PROBLEM

Cites Work

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• Differential-difference equations
• Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions

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