We study boundary value problems for systems of second order differential equations with principal part in the form of the squared first order differential operator. We establish the unique solvability of the boundary value problem for a nonclassical system in the plane, which can be regarded as the Riemann–Hilbert problem with discontinuous boundary conditions. Similar problems are considered in the space.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 2, 2016, pp. 68-78.
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Oshorov, B.B. Boundary Value Problems for Nonclassical Systems of Second Order Differential Equations. J Math Sci 228, 421–430 (2018). https://doi.org/10.1007/s10958-017-3632-9
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DOI: https://doi.org/10.1007/s10958-017-3632-9