This is a preview of subscription content, log in via an institution to check access.
Literature cited
K. M. Case and P. F. Zweifel, Linear Transport Theory, Addison-Wesley, Reading, Mass. (1967).
G. R. Bart and R. L. Warnock, “Linear integral equations of the third kind,” SIAM J. Math. Anal.,4, No. 4, 609–622 (1973).
Kh. G. Bzhikhatlov, “On an integral equation of the third kind,” Izv. Akad. Nauk Uzb. SSR, Ser. Fiz.-Mat. Nauk, No. 2, 18–23 (1970).
Kh. G. Bzhikhatlov, “On a boundary value problem with a displacement,” Differents. Uravn.,9, No. 1, 162–165 (1973).
N. S. Gabbasov, “On an approximate solution of integral equations of the third kind,” Izv. Vuzov, Matematika, No. 6, 49–52 (1986).
N. S. Gabbasov, “On a question concerning an approximate solution of integral equations of the third kind,” Deposited in VINITI, 1/2/86, No. 44-B86.
N. S. Gabbasov, “On an approximate solution of integral equations of the third kind,” in: Transactions of the All-Union Conference on “Classical and Nonclassical Boundary Value Problems for Partial Differential Equations, Integral Equations, and Their Applications” [in Russian], Kuibyshev (1987), p. 39.
N. S. Gabbasov, On Direct Methods for Solving Fredholm Integral Equations in Spaces of Generalized Functions [in Russian], Candidate's Thesis, Physical-Mathematical Sciences, Kazan State Univ., Kazan (1987).
B. G. Gabdulkhaev, Optimal Approximations for Solutions of Linear Problems [in Russian], Kazan State Univ., Kazan (1980).
Z. Presdorf, “Singular integral equation with a symbol vanishing at a finite number of points,” in: Mathematical Studies, Vol. 7, No. 1, 116–132 (1972).
V. B. Dybin, “Normalization of a singular integral equation in an exceptional case,” Mat. Anal. Ego Prilozh., Vol. 6, Rostov-on-Don (1974), pp. 45–64.
N. S. Gabbasov, “On an approximate solution of integral equations of the third kind,” Deposited in VINITI, 7/1/85, No. 4695-85.
V. V. Nagikh, “Estimate of the norm of a polynomial operator in the space of continuous functions,” Computational Methods, No. 10, Leningrad (1976), pp. 99–102.
N. S. Gabbasov, “On the theory of Fredholm integral equations of the third kind in a space of generalized functions,” Izv. Vuzov. Matematika, No. 4, 68–70 (1986).
I. K. Daugavet, Introduction to the Theory of the Approximation of Functions [in Russian], Leningrad State Univ., Leningrad (1977).
L. B. Ermolaeva, Approximate Properties of Polynomial Operators and the Solution of Integral and Integro-Differential Equations by the Method of Subdomains [in Russian], Candidate's Thesis, Physical-Mathematical Sciences, Kazan State Univ., Kazan (1987).
Author information
Authors and Affiliations
Additional information
Translated from Matematichekie Zametki, Vol. 49, No. 1, pp. 40–46, January, 1991.
Rights and permissions
About this article
Cite this article
Gabbasov, N.S. A new direct method for solving integral equations of the third kind. Mathematical Notes of the Academy of Sciences of the USSR 49, 29–33 (1991). https://doi.org/10.1007/BF01137058
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01137058