Eigenvalues and eigenfunctions of the Periodic Sturm-Liouville Problems with discontinuities

Year 2019, Volume: 8 Issue: 2, 37 - 41, 31.12.2019

Osman Yılmaz , Mustafa Kandemir , Kadriye Aydemir

https://izlik.org/JA94RL99FS

Abstract

In this study, we examine some spectral properties of a new type periodic eigenvalue problem for the
dierential equation
􀀀 y00 + q(x)y = y; x 2 [a; c) [ (c; b] (0.1)
together with the periodic boundary conditions at the end-points x = a; b given by
y(a) = y(b); y0(a) = y0(b) (0.2)
and with the interface conditions at the interior point of singularity x = c; given by
y(c+) = y(c􀀀); y0(c+) = y0(c􀀀) (0.3)
where q(x) is the continuous function, , are real numbers and  is complex eigenvalue parameter

Keywords

Periodic Sturm-Liouville Problem

Supporting Institution

Amasya University

Project Number

FMB-BAP 19-0391.

References

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