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Siberian Mathematical Journal

, Volume 60, Issue 1, pp 140–147 | Cite as

On Some Inverse Problems for First Order Operator-Differential Equations

  • S. G. PyatkovEmail author
Article
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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.

Keywords

operator-differential equation Cauchy problem inverse problem existence of a solution uniqueness 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Yugra State UniversityKhanty-MansiiskRussia
  2. 2.Sobolev Institute of MathematicsNovosibirskRussia

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