Discontinuous boundary value problems with retarded argument and eigenparameter-dependent boundary conditions

DOI10.1007/S00009-012-0175-7zbMath1275.34089OpenAlexW2165123072MaRDI QIDQ1943579

Fatma Aydin Akgun, Mehmet Bayramoğlu, Azad Bayramov

Publication date: 20 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00009-012-0175-7

zbMATH Keywords

asymptotic formulaseigenparametertransmission conditionretarded argumentdiscontinuous boundary value problem

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary value problems for functional-differential equations (34K10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument ⋮ Traces and inverse nodal problems for a class of delay Sturm–Liouville operators ⋮ 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 ⋮ Spectral properties of boundary-value-transmission problems with a constant retarded argument

Cites Work

• Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument
• Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter. II
• 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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