On the bounded derivatives of the solutions of the linear Volterra integral equations

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dc.authoridTemizer, Ö. Faruk/0000-0002-3843-5945
dc.authorwosidTemizer, Ö. Faruk/ABH-1108-2020
dc.contributor.authorTemizer, Oe Faruk
dc.contributor.authorOzdemir, Ismet
dc.date.accessioned2024-08-04T20:32:12Z
dc.date.available2024-08-04T20:32:12Z
dc.date.issued2009
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe boundaries for the solution of the linear Volterra integral equations of the second type of the form[image omitted] with unit source term and positive monotonically increasing convolution kernel were obtained as |f(t)|1, |f(t)|2 and |f(t)|4 in [R. Ling, Integral equations of Volterra type, J. Math. Anal. Appl. 64 (1978), pp. 381-397, R. Ling, Solutions of singular integral equations, Internat. J. Math. Math. Sci. 5 (1982), pp. 123-131.]. The sufficient conditions which are useful for finding the boundary such as |f(t)|2n of the solution of this equation were given, where 0t and n is a natural number, [I. Ozdemir and O. F. Temizer, The boundaries of the solutions of the linear Volterra integral equations with convolution kernel, Math. Comp. 75 (2006), pp. 1175-1199.]. In this paper, a method which ensures finding the boundaries of the derivative functions f', f'', ..., f(n+2) for n of the solution of the same equation has been developed.en_US
dc.identifier.doi10.1080/00207160701882121
dc.identifier.endpage1541en_US
dc.identifier.issn0020-7160
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-70449567525en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1512en_US
dc.identifier.urihttps://doi.org/10.1080/00207160701882121
dc.identifier.urihttps://hdl.handle.net/11616/94913
dc.identifier.volume86en_US
dc.identifier.wosWOS:000273521600004en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of Computer Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectlinear Volterra integral equations with convolution kernelen_US
dc.subjectequivalence theoremen_US
dc.subjectconvolution theoremen_US
dc.titleOn the bounded derivatives of the solutions of the linear Volterra integral equationsen_US
dc.typeArticleen_US

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