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BOUNDARY VALUE PROBLEMS FOR A CLASS OF NONLOCAL INTEGRO-DIFFERENTIAL EQUATIONS WITH DEGENERATION
- Authors: Kozhanov A.I.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 23, No 4 (2017)
- Pages: 19-24
- Section: Articles
- URL: https://journals.ssau.ru/est/article/view/5708
- DOI: https://doi.org/10.18287/2541-7525-2017-23-4-19-24
- ID: 5708
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Abstract
In this paper, we study the solvability of boundary value problems for integro-differential equation. One of the features of the equations under consideration is the possibility of degeneration when some of coefficients vanish. The other feature is that the equations under consideration are nonlocal. This motivates modifications in statement of problems. Nonlocal nature of equation in particular leads to nonlocal conditions. Sufficient conditions providing well-posedness of four problems are obtained.
About the authors
A. I. Kozhanov
Sobolev Institute of Mathematics
Author for correspondence.
Email: morenov.sv@ssau.ru
Russian Federation
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