First Regularized Trace of the Limit Assignment of Sturm-Liouville Type with Two Constant Delays

dc.citation.epage62
dc.citation.spage51
dc.citation.volume29
dc.contributor.authorPavlović, Nataša
dc.contributor.authorPikula, Milenko
dc.contributor.authorVojvodić, Biljana
dc.date.accessioned2023-09-05T11:34:52Z
dc.date.available2023-09-05T11:34:52Z
dc.date.issued2015
dc.description.abstractWe observe spectral assignment D2y = y defined by 􀀀y00(x) + q1(x)y(x 􀀀 1) + q2(x)y(x 􀀀 2) = y(x); = z2 (1) q1(x); q2(x) 2 L1[0; ]; 1; 2 2 (0; ) y(x 􀀀 1) 0; x 2 (0; 1]; 1 = k0 2 (2) y( ) = 0 (3) In this paper, we construct a solution y(x; z) which satisfies (1) and (2), and then (3) is used to construct the characteristic function F(z); z 2 C. Then the asymptotics of eigenvalues of the operator D2 is constructed. Finally, the first regularized trace is calculated.
dc.identifier.doi10.2298/FIL1501051P
dc.identifier.urihttps://vaseljena.ues.rs.ba/handle/123456789/682
dc.language.isoen
dc.publisherUniversity of Niš, Serbia
dc.sourceFilomat
dc.titleFirst Regularized Trace of the Limit Assignment of Sturm-Liouville Type with Two Constant Delays
dc.typeArticle
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