Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem

DOI10.1002/mma.2699zbMath1280.34064arXiv1212.2790OpenAlexW3104881224MaRDI QIDQ2857520

Azad Bayramov, Erdoğan Şen

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2790

zbMATH Keywords

asymptotics of eigenvaluestransmission conditionsdifferential equation with retarded argumentasymptotics of eigenfunctions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Spectral theory of functional-differential operators (34K08)

Related Items (6)

A singular Sturm-Liouville problem with limit circle endpoints and eigenparameter dependent boundary conditions ⋮ 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 ⋮ 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 ⋮ Asymptotic properties of a new Sturm–Liouville problem with retarded argument

Cites Work

• Unnamed Item
• Unnamed Item
• Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition
• Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument
• Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary conditions
• Completeness of Root Functions for Thermal Conduction in a Strip with Piecewise Continuous Coefficients

This page was built for publication: Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem