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Boundary Value Problems for Odd Order Forward-Backward-Type Differential Equations with Two Time Variables

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Abstract

We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those that have all Sobolev generalized derivatives entering the equation under study.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    A. I. Kozhanov

  2. North-Eastern Federal University, Institute of Mathematics, Yakutsk, Russia

    S. V. Potapova

Authors
  1. A. I. Kozhanov
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  2. S. V. Potapova
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Correspondence to A. I. Kozhanov.

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Original Russian Text © 2018 Kozhanov A.I. and Potapova S.V.

Novosibirsk; Yakutsk. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 5, pp. 1098–1115, September–October, 2018; DOI: 10.17377/smzh.2018.59.511.

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Kozhanov, A.I., Potapova, S.V. Boundary Value Problems for Odd Order Forward-Backward-Type Differential Equations with Two Time Variables. Sib Math J 59, 870–884 (2018). https://doi.org/10.1134/S0037446618050117

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  • DOI: https://doi.org/10.1134/S0037446618050117

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