Email this article On Some Inverse Problems for First Order Operator-Differential Equations
- Authors: Pyatkov S.G.1,2
-
Affiliations:
- Yugra State University
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 1 (2019)
- Pages: 140-147
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172246
- DOI: https://doi.org/10.1134/S0037446619010154
- ID: 172246
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Abstract
We study solvability of the inverse problems of recovering an unknown function on the nonlinear right-hand side of a first order operator-differential equation in some Banach space. The equation is furnished with the Cauchy data, and the overdetermination condition is the value of some operator at a solution. The existence and uniqueness theorems local in time are established.
About the authors
S. G. Pyatkov
Yugra State University; Sobolev Institute of Mathematics
Author for correspondence.
Email: pyatkov@math.nsc.ru
Russian Federation, Khanty-Mansiisk; Novosibirsk
