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Turkish Journal of Mathematics

DOI

10.3906/mat-1704-111

Abstract

In this paper, a boundary value problem consisting of a delay differential equation of the Sturm-Liouville type with eigenparameter-dependent boundary conditions is investigated. The asymptotic behavior of eigenvalues is studied and the parameter of delay is determined by eigenvalues. Then we obtain the connection between the potential function and the canonical form of the characteristic function.

Keywords

Delay differential equation, characteristic function, eigenvalues, inverse problem

First Page

3090

Last Page

3100

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