Email this article Boundary Value Problems for Odd Order Forward-Backward-Type Differential Equations with Two Time Variables
- Authors: Kozhanov A.I.1, Potapova S.V.2
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Affiliations:
- Sobolev Institute of Mathematics
- North-Eastern Federal University, Institute of Mathematics
- Issue: Vol 59, No 5 (2018)
- Pages: 870-884
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172041
- DOI: https://doi.org/10.1134/S0037446618050117
- ID: 172041
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Abstract
We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those that have all Sobolev generalized derivatives entering the equation under study.
About the authors
A. I. Kozhanov
Sobolev Institute of Mathematics
Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, Novosibirsk
S. V. Potapova
North-Eastern Federal University, Institute of Mathematics
Email: kozhanov@math.nsc.ru
Russian Federation, Yakutsk
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