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On the Notion of the Finite Part of Divergent Integrals in Integral Equations

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REFERENCES

  1. Poincar, H., Leçons de Mecaénique Celeste, Paris, 1910, vol. 3.

  2. Hilbert, D., Grundzuge einer allgemeinen Theorie der linearen Intergralgleichungen, Leipzig, 1912.

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

  4. Gakhov, F.D., Kraevye zadachi (Boundary Value Problems), Moscow, 1977.

  5. Hadamard, J., Zadacha Koshi dlya lineinykh uravnenii s chastnymi proizvodnymi giperbolicheskogo tipa (Cauchy Problem for Linear Partial Differential Equations of the Hyperbolic Type), Moscow, 1978.

  6. Belotserkovskii, S.M. and Lifanov, I.K., Chislennye metody v singulyarnykh integral'nykh uravneniyakh i ikh prilozheniyakh (Numerical Methods in Singular Integral Equations and Their Applications), Moscow, 1985.

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

  8. Vainikko, G., Multidimensional Weakly Singular Integral Equations, Berlin, 1993.

  9. Saranen, J. and Vainikko, G., Periodic Integral and Pseudodifferential Equations with Numerical Approximation, Berlin, 2002.

  10. McLean, W., Strongly Elliptic Systems and Boundary Integral Equation, Cambridge, 2000.

  11. Courant, R., Partial Differential Equations (Courant, R. and Hilbert, D., Methods of Mathematical Physics, vol. 2), New York, 1962. Translated under the title Uravneniya s chastnymi proizvodnymi, Moscow: Mir, 1964.

  12. Vainikko, G., Pedas, A., and Uba, P., Metody resheniya slabo singulyarnykh integral'nykh uravnenii (Methods for Weakly Singular Integral Equations), Tartu, 1984.

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  1. Air Force Engineering Academy, Moscow, Russia

    G. M. Vainikko & I. K. Lifanov

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  1. G. M. Vainikko
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  2. I. K. Lifanov
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Vainikko, G.M., Lifanov, I.K. On the Notion of the Finite Part of Divergent Integrals in Integral Equations. Differential Equations 38, 1313–1326 (2002). https://doi.org/10.1023/A:1021700706820

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  • DOI: https://doi.org/10.1023/A:1021700706820

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