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A Problem for a Factorized Equation with a Pseudoparabolic Differential Operator

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Abstract

We state a new problem for a fourth-order factorized differential equation, whose operator is the product of first- and third-order differential operators, and prove its unique solvability. We construct the solution in terms of the Riemann function of the corresponding third-order pseudoparabolic differential operator, determining one of functions that enter in the formula for the problem solution from resolvents of two integral equations.

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  1. Elabuga Institute of Kazan Federal University, 89 Kazanskaya str., 423600, Elabuga, Russia

    L. B. Mironova

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  1. L. B. Mironova
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Correspondence to L. B. Mironova.

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Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 8, pp. 44–49.

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Mironova, L.B. A Problem for a Factorized Equation with a Pseudoparabolic Differential Operator. Russ Math. 64, 37–41 (2020). https://doi.org/10.3103/S1066369X20080058

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  • DOI: https://doi.org/10.3103/S1066369X20080058

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