Lavrent’ev, M. M. Integral geometry problems with perturbation on the plane. (English. Russian original) Zbl 0874.53054 Sib. Math. J. 37, No. 4, 747-752 (1996); translation from Sib. Mat. Zh. 37, No. 4, 851-857 (1996). The paper contains a uniqueness theorem for the integral equation \[ \int^y_0 [u(x+h,\eta)+u(x-h,\eta)\frac{d\eta}{\sqrt{y-\eta}}+\int^y_0\int^{x+k}_{x-h} K(x,y,\xi,\eta)u(\xi,\eta)d\xi d\eta=f(x,y), \] where \(h=\sqrt{y-\eta}\) and \(K(x,y,\xi,\eta)=0\) for \(|\xi+x|\geq h\). Reviewer: A.V.Borisov (Sofia) Cited in 1 Document MSC: 53C65 Integral geometry Keywords:uniqueness; integral equation PDFBibTeX XMLCite \textit{M. M. Lavrent'ev}, Sib. Math. J. 37, No. 4, 747--752 (1996; Zbl 0874.53054); translation from Sib. Mat. Zh. 37, No. 4, 851--857 (1996) Full Text: DOI References: [1] K. Maurin, Methods of Hilbert Space [Russian translation], Mir, Moscow (1965). [2] M. M. Lavrent’ev, ”On a certain class of integral geometry problems on the plane,” Sibirsk. Mat. Zh.,30, No. 4, 62–68 (1989). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.