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On the solvability of one class of nonlinear integral equations in L 1(0,+∞)

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Abstract

We study the problem of constructing a solution that is positive, integrable, and essentially bounded on (0,+∞) to one class of nonlinear Hammerstein integral equations with noncompact operator in the critical case.

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Authors and Affiliations

  1. Institute of Mathematics of the NAS of Armenia, Yerevan, 0019, Armenia

    K. A. Khachatryan

  2. Armenian National Agrarian University, Yerevan, 0009, Armenia

    T. E. Terdzhyan

Authors
  1. K. A. Khachatryan
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  2. T. E. Terdzhyan
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Corresponding author

Correspondence to K. A. Khachatryan.

Additional information

Original Russian Text © K.A. Khachatryan and T.E. Terdzhyan, 2015, published in Matematicheskie Trudy, 2015, Vol. 18, No. 12, pp. 190–200.

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Khachatryan, K.A., Terdzhyan, T.E. On the solvability of one class of nonlinear integral equations in L 1(0,+∞). Sib. Adv. Math. 25, 268–275 (2015). https://doi.org/10.3103/S1055134415040045

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