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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/158192026-10-18T20:30:40Zopenairedrivercom_ebyu_10000col_ebyu_10001

A hochstadt-lieberman theorem for integro-differential operatorSat, MuratYilmaz, EmrahHalf inverse problemIntegro-differential equationIn this study, we solve a half inverse problem for integro-differential operator that consists of Sturm-Liouville differential part and integral part of Volterra type on a finite interval by using Hochstadt-Lieberman's method. We consider that q is a squared integrable function on [0, φ] and the kernel of the integral perturbation is integrable on its domain. Especially, we show that the potential function q is known as uniquely when the kernel of the integral perturbation is given. © 2013 Academic Publications, Ltd.2013Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/15819https://doi.org/10.12732/ijpam.v88i3.91314-3395enInternational Journal of Pure and Applied Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15819