Literature Cited
F. D. Gakhov and L. I. Chibrikova, “On certain types of singular integral equations solvable in closed form,”Matem. Sb.,35, No. 3, 395–436 (1954).
F. D. Gakhov,Boundary-Value Problems [in Russian], Moscow (1977).
R. Dzhurankulov, V. V. Ivanov, and M. I. Israilov, “On the derivation of the number of solutions of singular integral equations representable in closed form,”Izv. Vuzov. Mat., No. 4, 28–34 (1982).
L. I. Chibrikova,The Basic Boundary-Value Problems for Analytic Functions [in Russian], Kazan’ (1977).
N. P. Vekua,Systems of Singular Integral Equations, Noordhoff, Groningen (1967).
M. A. Sheshko, “On methods of approximate solution of singular integral equations,”Dokl. Akad. Nauk Bel. SSR,21, No. 12, 1067–1069 (1977).
N. I. Muskhelishvili,Singular Integral Equations, Noordhoff, Groningen (1953).
Additional information
Translated fromIssledovaniya po Prikladnoi Matematike, No. 19, 1992, pp. 111–120.
Rights and permissions
About this article
Cite this article
Pleshchinskii, N.B., Chumaraev, P.A. On the solution of singular integral equations with automorphic kernels by mechanical quadrature. J Math Sci 74, 1274–1279 (1995). https://doi.org/10.1007/BF02367696
Issue Date:
DOI: https://doi.org/10.1007/BF02367696