Eigenvalues and eigenfunctions of the Periodic Sturm-Liouville Problems with discontinuities
Abstract
In this study, we examine some spectral properties of a new type periodic eigenvalue problem for the
di erential 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
Supporting Institution
Amasya University
Project Number
FMB-BAP 19-0391.
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