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Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics

  • Integral and Integro-Differential Equations
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References

  1. Belotserkovskii, S.M. and Lifanov, I.K., Chislennye metody v singulyarnykh integral’nykh uravneniyakh (Numerical Methods in Singular Integral Equations), Moscow: Nauka, 1985.

    Google Scholar 

  2. Belotserkovskii, S.M. and Nisht, M.I., Otryvnoe i bezotryvnoe obtekanie tonkikh kryl’ev ideal’noi zhidkost’yu (Separable and Nonseparable Flow of an Ideal Fluid Around Thin Wings), Moscow: Nauka, 1978.

    Google Scholar 

  3. Koening, D.G. and Falarski, M.D., NACA TMX 62029, 1972.

  4. Vainikko, G.M. and Lifanov, I.K., Differ. Uravn., 2000, vol. 36, no. 9, pp. 1184–1195.

    Google Scholar 

  5. Sarannen, J. and Vainikko, G., Periodic Integral and Pseudodifferential Equations with Numerical Approximation, Berlin, 2001.

  6. Vainikko, G.M., Lebedeva, N.V., and Lifanov, I.K., Mat. Sb., 2002, vol. 193, no. 10, pp. 3–16.

    Google Scholar 

  7. Lifanov, I.K. and Nenashev, A.S., Differ. Uravn., 2005, vol. 41, no. 1, pp. 121–137.

    Google Scholar 

  8. Vladimirov, V.S., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1976.

    Google Scholar 

  9. Belotserkovskii, S.M. and Lifanov, I.K., Method of Discrete Vortices, Boca Raton, 1993.

  10. Zakharov, E.S. and Pimenov, Yu.V., Chislennyi analiz difraktsii radiovoln (Numerical Analysis of Diffraction of Radio Waves), Moscow: Radio i Svyaz’, 1982.

    Google Scholar 

  11. Panasyuk, V.V., Savruk, M.P., and Datsyshin, A.P., Raspredelenie napryazhenii okolo treshchin v plastinakh i obolochkakh (Distribution of Stresses Near Cracks in Plates and Shells), Kiev: Naukova Dumka, 1976.

    Google Scholar 

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

    Google Scholar 

  13. Dovgii, S.A. and Lifanov, I.K., Metody resheniya integral’nykh uravnenii. Teoriya i prilozheniya (Methods for Solving Integral Equations. Theory and Applications), Kiev: Naukova Dumka, 2002.

    Google Scholar 

  14. Lifanov, I.K., Differ. Uravn., 2006, vol. 42, no. 4, pp. 556–559.

    Google Scholar 

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Authors and Affiliations

  1. Air-Force Engineering Academy, Moscow, Russia

    I. K. Lifanov & A. S. Nenashev

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  1. I. K. Lifanov
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  2. A. S. Nenashev
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Original Russian Text © I.K. Lifanov, A.S. Nenashev, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 6, pp. 841–851.

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Lifanov, I.K., Nenashev, A.S. Generalized functions on Hilbert spaces, singular integral equations, and problems of aerodynamics and electrodynamics. Diff Equat 43, 862–872 (2007). https://doi.org/10.1134/S0012266107060122

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  • DOI: https://doi.org/10.1134/S0012266107060122

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