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NONLOCAL PROBLEMS FOR THE EQUATION OF THE MIXED PARABOLIC-HYPERBOLIC TYPE
- Authors: Yunusova G.1
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Affiliations:
- Samara State University of Architecture and Civil Engineering
- Issue: Vol 17, No 8 (2011)
- Pages: 108-117
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/4812
- DOI: https://doi.org/10.18287/2541-7525-2011-17-8-108-117
- ID: 4812
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Abstract
Boundary value problems with non-local conditions for partial differential equation are considered. In these problems, non-local conditions connect the values of a required solutions on the opposite sides of a rectangular domain. Criteria of uniqueness of each of the problems are obtained. Solutions to both problems are constructed as sums of Fourier series. The stability of solutions is proved.
About the authors
G.R. Yunusova
Samara State University of Architecture and Civil Engineering
Author for correspondence.
Email: morenov.sv@ssau.ru
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