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Boundary Value and Inverse Problems for Some Classes of Nonclassical Operator-Differential Equations

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Abstract

We consider the solvability of boundary value problems and some inverse problems for operator-differential equations of odd order which can be referred to as mixed type equations since the coefficient of the higher order time derivative can change sign. Studying the general classes of boundary value problems with nonlocal boundary conditions, we establish the existence and uniqueness theorems of regular solutions under some conditions on data.

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Funding

The author was supported by the Russian Foundation for Basic Research (Grant 18–01–00620).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    S. G. Pyatkov

  2. Yugra State University, Khanty-Mansiisk, Russia

    S. G. Pyatkov

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  1. S. G. Pyatkov
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Correspondence to S. G. Pyatkov.

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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 3, pp. 607–622. https://doi.org/10.33048/smzh.2021.62.312

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Pyatkov, S.G. Boundary Value and Inverse Problems for Some Classes of Nonclassical Operator-Differential Equations. Sib Math J 62, 489–502 (2021). https://doi.org/10.1134/S0037446621030125

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  • DOI: https://doi.org/10.1134/S0037446621030125

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