Dat, Vu Văn; Luoc, Ngo Văn; Nguyen Văn Ngoc Solution of the axisymmetric problem of filtration theory by the method of dual series equations. (Vietnamese. English summary) Zbl 0613.35012 Tạp Chí Toán Học 12, No. 2, 20-27 (1984). The axisymmetric problem of filtration theory is reduced by an integral transform method to dual series equations. Their theory had been given by the third author [Ukr. Mat. Zh. 35, No.5, 641-644 (1983; Zbl 0537.45004)]. These equations are reduced to integral equations with product kernel. The solution of the last one is obtained by the method of successive approximations. MSC: 35C15 Integral representations of solutions to PDEs 35A35 Theoretical approximation in context of PDEs 76S05 Flows in porous media; filtration; seepage 35A30 Geometric theory, characteristics, transformations in context of PDEs Keywords:axisymmetric problem; filtration; integral transform; dual series equations; integral equations; successive approximations Citations:Zbl 0537.45004 PDFBibTeX XMLCite \textit{V. V. Dat} et al., Tạp Chí Toán Học 12, No. 2, 20--27 (1984; Zbl 0613.35012)