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Nonlinear Noetherian Second-Order Boundary-Value Problems in the Critical Case

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We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear Noetherian boundary-value problem for a system of second-order ordinary differential equations in the critical case.

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Authors and Affiliations

  1. Donbass State Pedagogic University, Ukraine, 84116, Slavyansk, Donetsk region, 19 General Batyuk Str.

    S. M. Chuiko

  2. Institute of Mathematics, Ukrainian National Academy of Sciences, Ukraine, 01601, Kiev, 3 Tereshchenkovskaya Str.

    An. A. Boichuk

  3. Paton Institute of Electric Welding, Ukrainian National Academy of Sciences, Ukraine, 03680, Kiev, 3 Bozhenko Str.

    I. A. Boichuk

Authors
  1. S. M. Chuiko
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  2. An. A. Boichuk
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  3. I. A. Boichuk
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Translated from Neliniini Kolyvannya, Vol. 16, No. 2, pp. 261–269, April–June, 2013.

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Chuiko, S.M., Boichuk, A.A. & Boichuk, I.A. Nonlinear Noetherian Second-Order Boundary-Value Problems in the Critical Case. J Math Sci 198, 351–360 (2014). https://doi.org/10.1007/s10958-014-1795-1

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  • DOI: https://doi.org/10.1007/s10958-014-1795-1

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