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Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials

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REFERENCES

  1. Suetin, P.K., Ryady po mnogochlenam Fabera (Series in Faber Polynomials), Moscow, 1984.

  2. Kuprin, V.A., Izv. Vyssh. Uchebn. Zaved. Matematika, 1980, no. 1, pp. 20–26.

  3. Zolotarevskii, V.A., Konechnomernye metody resheniya singulyarnykh integral’nykh uravnenii na zamknutykh konturakh integrirovaniya (Finite-Dimensional Methods for Solving Singular Integral Equations on Closed Integration Contours), Kishinev, 1991.

  4. Muskhelishvili, N.I., Singulyarnye integral’nye uravneniya (Singular Integral Equations), Moscow, 1968.

  5. Lifanov, I.K., Metod singulyarnykh integral’nykh uravnenii i chislennyi eksperiment (The Method of Singular Integral Equations and Numerical Experiment), Moscow, 1995.

  6. Gabdulkhaev, B.G., Optimal’nye approksimatsii reshenii lineinykh zadach (Optimal Approximations to Solutions of Linear Problems), Kazan, 1980.

  7. Zolotarevskii, V.A., in Sovremennye voprosy prikladnoi matematiki (Modern Problems of Applied Mathematics), Kishinev, 1979, pp. 50–64.

  8. Caraus, Iu., in The Numerical Solution of Singular Integro-Differential Equations in Hölder Spaces: Conference on Scientific Computation, Geneva, 2002.

  9. Caraus, Iu. and Zhilin, Li., in A Direct Methods and Convergence Analysis for Some System of Singular Integro-Differential Equations, May 2003: CRSC-TR03-22, North Caroline, USA.

  10. Krikunov, Yu.V., Uch. Zap. Kazan. Univ., 1956, vol. 116, no. 4, pp. 3–29.

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  11. Zolotarevskii, V.A. and Terytse, I.N., Visn. Kharkiv. Nats. Univ., 2003, no. 590, pp. 124–127.

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Translated from Differentsial’nye Uravneniya, Vol. 40, No. 12, 2004, pp. 1682–1686.

Original Russian Text Copyright © 2004 by Zolotarevskii, Zhilin Li, Caraus.

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Zolotarevskii, V.A., Li, Z. & Caraus, I. Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials. Diff Equat 40, 1764–1769 (2004). https://doi.org/10.1007/s10625-005-0108-3

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  • DOI: https://doi.org/10.1007/s10625-005-0108-3

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