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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 1, Pages 183–193 (Mi smj3068)

This article is cited in 7 papers

On some inverse problems for first order operator-differential equations

S. G. Pyatkovab

a Yugra State University, Khanty-Mansiisk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia

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.

UDC: 517.95

Received: 10.07.2018
Revised: 30.07.2018
Accepted: 17.08.2018

DOI: 10.33048/smzh.2019.60.115


 English version:
Siberian Mathematical Journal, 2019, 60:1, 140–147

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