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Analysis, Probability, Applications, and Computation pp 191–197Cite as

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On a Class of Solutions of the Nonlinear Integral Fredholm Equation

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Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

Sufficient conditions for the existence and uniqueness of a new class of solutions are found for the nonlinear integral Fredholm equation, and an algorithm for their construction has been developed.

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References

  1. N.S. Smirnov, Introduction to the Theory of Non-Linear Integral Equations (in Russian). (ONTI, Moscow, 1936)

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  2. M.L. Krasnov, Integral Equations (in Russian). (Moscow, Nauka, 1975)

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  3. A.B. Vasileva, A.N. Tikhonov, Integral Equations (Publishing House MGU, Moscow, 1989)

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  4. E.F. Abdyldaeva, Nonlinear integral equation of optimal control and its solvability. J. Vestnik Krsu. 12, 55–61 (2014)

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  5. A. Kerimbekov, Method for solving nonlinear integral equations of Fredholm. J. Vestnik Krsu. 1, 23–26 (2016)

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  6. V.I. Smirnov, A Course of Higher Mathematics (Addison-Wesley, Reading, 1964)

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Author information

Authors and Affiliations

  1. Kyrgyz Russian Slavic University, Bishkek, Kyrgyzstan

    Akylbek Kerimbekov

Authors
  1. Akylbek Kerimbekov
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Kerimbekov, A. (2019). On a Class of Solutions of the Nonlinear Integral Fredholm Equation. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_18

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