Bounds for distance between eigenvalues of boundary value problems with retarded argument
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this study we are concerned with spectrum of boundary value problems with retarded argument with discontinuous weight function, two supplementary transmission conditions at the point of discontinuity, spectral and physical parameters in the boundary condition and we obtain bounds for the distance between eigenvalues. We extend and generalize some approaches and results of the classical regular and discontinuous Sturm-Liouville problems. In the special case that ? (x) = 1, the transmission coefficients ?1 = ?1, ?2 = ?2 and retarded argument ? = 0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator. © 2019 Mathematical Institute Slovak Academy of Sciences 2019.
Description
Keywords
bounds for the distance between eigenvalues, differential equation with retarded argument, oscillation, transmission conditions
Journal or Series
Mathematica Slovaca
WoS Q Value
Q3
Scopus Q Value
Q2
Volume
69
Issue
2
