Some Bounded Linear Integral Operators and Linear Fredholm Integral Equations in the Spaces H?,?,? ((a,b) x (a,b), X) and H?,?(a,b), X)

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dc.authoridTemizer, Ö. Faruk/0000-0002-3843-5945
dc.authorwosidAkhmedov, Ali/R-2186-2019
dc.authorwosidTemizer, Ö. Faruk/ABH-1108-2020
dc.contributor.authorOzdemir, Ismet
dc.contributor.authorAkhmedov, Ali M.
dc.contributor.authorTemizer, O. Faruk
dc.date.accessioned2024-08-04T20:37:33Z
dc.date.available2024-08-04T20:37:33Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe spaces H-alpha,H-delta,H-gamma ((a,b) x (a,b), R) and H-alpha,H-delta ((a,b), R) were defined in ((Huseynov (1981)), pages 271-277). Some singular integral operators on Banach spaces were examined, (Dostanic (2012)), (Dunford (1988), pages 2419-2426 and (Plamenevskiy (1965)). The solutions of some singular Fredholm integral equations were given in (Babolian (2011), Okayama (2010), and Thomas (1981)) by numerical methods. In this paper, we define the sets H-alpha,H-delta,H-gamma ((a,b) x(a,b), X) and H-alpha,H-delta ((a,b), X) by taking an arbitrary Banach space X instead of R, and we showthat these sets which are different from the spaces given in (Dunford (1988)) and (Plamenevskiy (1965)) are Banach spaces with the norms parallel to center dot parallel to(alpha,delta,gamma) and parallel to . parallel to(alpha,delta) Besides, the bounded linear integral operators on the spaces H-alpha,H-delta,H-gamma ((a,b) x (a,b), X) and H-alpha,H-delta ((a,b), X), some of which are singular, are derived, and the solutions of the linear Fredholmintegral equations of the form f(s) = phi(s) + lambda integral(b)(a)A(s,t) f(t)dt, f(s) = phi(s) + lambda integral(b)(a)A(t,s)f(t)dt and f(s, t) = phi(s, t) + lambda integral(b)(a) (s, t)f(t, s)dt are investigated in these spaces by analytical methods.en_US
dc.identifier.doi10.1155/2013/607204
dc.identifier.issn1085-3375
dc.identifier.issn1687-0409
dc.identifier.scopus2-s2.0-84876553889en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.urihttps://doi.org/10.1155/2013/607204
dc.identifier.urihttps://hdl.handle.net/11616/96024
dc.identifier.wosWOS:000317199600001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Publishing Corpen_US
dc.relation.ispartofAbstract and Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectIntegrodifferential Equationen_US
dc.subject2nd Kinden_US
dc.subjectKernelen_US
dc.titleSome Bounded Linear Integral Operators and Linear Fredholm Integral Equations in the Spaces H?,?,? ((a,b) x (a,b), X) and H?,?(a,b), X)en_US
dc.typeArticleen_US

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