On the investigation of a discontinuous Sturm-Liouville operator of scattering theory

Akcay, Ozge

On the investigation of a discontinuous Sturm-Liouville operator of scattering theory

MakaleYalnız künyeScopus SJRQ3

Özet

This paper deals with the investigation of the direct scattering problem for the Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The integral representation of the Jost solution is obtained and the properties of its kernel function are given. A total collection of the scattering data is constructed and the behavior of the scattering function at infinity is examined.

Anahtar Kelimeler

discontinuity conditions discontinuous coefficient Jost solution scattering data Sturm-Liouville equation

RDL Kalıcı Bağlantı (PID)

https://rdlopen.rawdatalibrary.net/r/munzur/2822Resmi atıflarda kullanılan kalıcı adres

İndeks kayıtları

Scopus

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Atıflar

Scopus: 2

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Tam Kayıt

Alan	Değer	Dil
dc.contributor.author	Akcay, Ozge
dc.date.accessioned	2026-10-28T14:55:51.120637895Z
dc.date.available	2026-10-28T14:55:51.120637895Z
dc.date.issued	2022
dc.description.abstract	This paper deals with the investigation of the direct scattering problem for the Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The integral representation of the Jost solution is obtained and the properties of its kernel function are given. A total collection of the scattering data is constructed and the behavior of the scattering function at infinity is examined.
dc.identifier.endpage	45
dc.identifier.issn	1331-0623
dc.identifier.issue	1
dc.identifier.scopus	2-s2.0-85130375642
dc.identifier.startpage	33
dc.identifier.uri	https://rdlopen.rawdatalibrary.net/r/munzur/2822
dc.identifier.volume	27
dc.language.iso	en
dc.publisher	Udruga Matematicara Osijek
dc.relation.ispartof	Mathematical Communications
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	discontinuity conditions
dc.subject	discontinuous coefficient
dc.subject	Jost solution
dc.subject	scattering data
dc.subject	Sturm-Liouville equation
dc.title	On the investigation of a discontinuous Sturm-Liouville operator of scattering theory
dc.type	Article
rdl.citation.scopus	2
rdl.oa.status	closed
rdl.scopus.quartile	Q3
rdl.source.index	SCOPUS