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On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms

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Abstract

We prove the solvability of a high order partial differential equation with discrete deviation of the argument in lowest terms. The proof is carried out by the method of separation of variables. We also study the boundary-value problemfor a particular case which corresponds to a fourth-order nonlinear equation.

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Authors and Affiliations

  1. Kabardino-Balkarian State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia

    O. I. Bzheumikhova & V. N. Lesev

Authors
  1. O. I. Bzheumikhova
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  2. V. N. Lesev
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Correspondence to O. I. Bzheumikhova.

Additional information

Original Russian Text © O.I. Bzheumikhova, V.N. Lesev, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 7, pp. 10–17.

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Bzheumikhova, O.I., Lesev, V.N. On the solvability of nonlinear partial differential equations of a high order with deviating argument in lowest terms. Russ Math. 60, 7–13 (2016). https://doi.org/10.3103/S1066369X16070021

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  • DOI: https://doi.org/10.3103/S1066369X16070021

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