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On a problem with nonlinear boundary conditions for systems of functional-differential equations

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Abstract

We use the method of a priori estimates to obtain effective sufficient solvability conditions for systems of nonlinear functional-differential equations with nonlinear boundary conditions of periodic type. The results are in a sense optimal.

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Authors and Affiliations

  1. State University, Tbilisi, Georgia

    S. V. Mukhigulashvili

  2. Mathematical Institute, Academy of Sciences of the Czech Republic, Brno, Czech Republic

    S. V. Mukhigulashvili

Authors
  1. S. V. Mukhigulashvili
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Original Russian Text © S.V. Mukhigulashvili, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 47–58.

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Mukhigulashvili, S.V. On a problem with nonlinear boundary conditions for systems of functional-differential equations. Diff Equat 46, 48–60 (2010). https://doi.org/10.1134/S0012266110010064

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  • DOI: https://doi.org/10.1134/S0012266110010064

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