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Closed-form solution for a class of singular integral equations of the first type with Cauchy kernel

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References

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

    Google Scholar 

  2. Sheshko, M.A., Singulyarnye integral’nye uravneniya s yadrami Koshi i Gil’berta i ikh priblizhennoe reshenie (Singular Integral Equations with Cauchy and Hilbert Kernels and Their Approximate Solution), Lublin: Catholic Univ. of Lublin, 2003.

    Google Scholar 

  3. Lewin, L., I.R.K. Trans. MIT, 1961, vol. 9, pp. 321–332.

    Article  Google Scholar 

  4. Chakrabarti, A. and Williams, W.E., J. Inst. Math., 1980, vol. 26, pp. 321–323.

    Article  MathSciNet  MATH  Google Scholar 

  5. Terbecke, M., Sacalius, C., and Vornicescu, G., Bull. Sci. Math., 2002, vol. 126, pp. 379–387.

    Article  MathSciNet  Google Scholar 

  6. Estrada, R. and Kanwal, R.P., Singular Integral Equations, Boston, 2000.

  7. Buecner, H.F., J. Math. Anal. Appl., 1966, vol. 14, pp. 392–426.

    Article  MathSciNet  Google Scholar 

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Original Russian Text © M.A. Sheshko, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 9, pp. 1213–1229.

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Sheshko, M.A. Closed-form solution for a class of singular integral equations of the first type with Cauchy kernel. Diff Equat 43, 1244–1261 (2007). https://doi.org/10.1134/S001226610709008X

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  • DOI: https://doi.org/10.1134/S001226610709008X

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