Boundary Value Problems for Nonclassical Systems of Second Order Differential Equations
- Authors: Oshorov B.B.1
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Affiliations:
- East Siberia State University of Technology and Management
- Issue: Vol 228, No 4 (2018)
- Pages: 421-430
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240266
- DOI: https://doi.org/10.1007/s10958-017-3632-9
- ID: 240266
Cite item
Abstract
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.
About the authors
B. B. Oshorov
East Siberia State University of Technology and Management
Author for correspondence.
Email: bboshorov@yandex.ru
Russian Federation, 40, Kluchevskaya St., Ulan-Ude, 670013
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