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Weakly Nonlinear Systems of Integrodifferential Equations

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We establish necessary and sufficient conditions for the existence of the solution of a weakly nonlinear system of integrodifferential equations. We propose a convergent iterative procedure for finding solutions of the system and establish a relationship between the necessary and sufficient conditions.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Ukraine, 01601, Kyiv, 3 Tereshchenkivs’ka Str.

    O. A. Boichuk & I. A. Golovats’ka

Authors
  1. O. A. Boichuk
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  2. I. A. Golovats’ka
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Translated from Neliniini Kolyvannya, Vol. 16, No. 3, pp. 314–321, July–September, 2013.

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Boichuk, O.A., Golovats’ka, I.A. Weakly Nonlinear Systems of Integrodifferential Equations. J Math Sci 201, 288–295 (2014). https://doi.org/10.1007/s10958-014-1989-6

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  • DOI: https://doi.org/10.1007/s10958-014-1989-6

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