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On the Solvability of One System of Nonlinear Hammerstein-Type Integral Equations on the Semiaxis

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Ukrainian Mathematical Journal Aims and scope

We study the problems of construction of positive summable and bounded solutions for the systems of nonlinear Hammerstein-type integral equations with difference kernels on the semiaxis. These systems have direct applications to the kinetic theory of gases, the theory of radiation transfer in spectral lines, and the theory of nonlinear Ricker competition models for running waves.

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Authors and Affiliations

  1. Institute of Mathematics, Armenian National Academy of Sciences, Erevan, Armenia

    Kh. A. Khachatryan & T. G. Sardanyan

  2. National Agrarian University, Erevan, Armenia

    Ts. É. Terdzhyan

Authors
  1. Kh. A. Khachatryan
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  2. Ts. É. Terdzhyan
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  3. T. G. Sardanyan
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 8, pp. 1107–1122, August, 2017.

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Khachatryan, K.A., Terdzhyan, T.É. & Sardanyan, T.G. On the Solvability of One System of Nonlinear Hammerstein-Type Integral Equations on the Semiaxis. Ukr Math J 69, 1287–1305 (2018). https://doi.org/10.1007/s11253-017-1431-6

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  • DOI: https://doi.org/10.1007/s11253-017-1431-6

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