Doklady Mathematics

, Volume 77, Issue 2, pp 315–319 | Cite as

Exact solutions to some classes of nonlinear integral, integro-functional, and integro-differential equations

  • A. D. PolyaninEmail author
  • A. I. Zhurov
Mathematical Physics


Integral Equation DOKLADY Mathematic Homogeneous Boundary Condition Nonlinear Integral Equation Linear Integral Equation 
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  1. 1.
    I. G. Petrovskii, Lectures on the Theory of Integral Equations (Gostekhizdat, Moscow, 1951; Graylock, Rochester, N.Y., 1957).Google Scholar
  2. 2.
    S. G. Mikhlin, Linear Integral Equations (Fizmatgiz, Moscow, 1959; Harwood Academic, London, 1961).Google Scholar
  3. 3.
    F. G. Tricomi, Integral Equations (Interscience, New York, 1957; Inostrannaya Literatura, Moscow, 1960).zbMATHGoogle Scholar
  4. 4.
    P. P. Zabreiko, A. I. Koshelev, and M. A. Krasnosel’skii, et al., Integral Equations (Nauka, Moscow, 1968) [in Russian].Google Scholar
  5. 5.
    M. L. Krasnov, A. I. Kiselev, and G. I. Makarenko, Integral Equations (Nauka, Moscow, 1968) [in Russian].Google Scholar
  6. 6.
    M. L. Krasnov, Integral Equations: Introduction to Theory (Nauka, Moscow, 1975) [in Russian].Google Scholar
  7. 7.
    F. D. Gakhov and Yu. I. Cherskii, Convolution Type Equations (Nauka, Moscow, 1978) [in Russian].zbMATHGoogle Scholar
  8. 8.
    A. F. Verlan’ and V. S. Sizikov, Integral Equations: Methods, Algorithms, and Codes (Naukova Dumka, Kiev, 1986) [in Russian].Google Scholar
  9. 9.
    S. G. Samko, A. A. Kilbas, and O. I. Marichev, Integrals and Derivatives of Fractional Order: Theory and Applications (Nauka i Tekhnika, Minsk, 1987; Gordon and Breach, London, 1993).zbMATHGoogle Scholar
  10. 10.
    A. V. Manzhirov and A. D. Polyanin, Solution Methods for Integral Equations (Faktorial, Moscow, 1999) [in Russian].Google Scholar
  11. 11.
    A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations (Fizmatlit, Moscow, 2003) [in Russian].zbMATHGoogle Scholar

Copyright information

© MAIK Nauka 2008

Authors and Affiliations

  1. 1.Institute for Problems in MechanicsRussian Academy of SciencesMoscowRussia

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