Abstract: Inverse problems - the problem of finding the causes of known or given consequences. They arise when the characteristics of an object of interest to us are not available for direct observation. These are, for example, the restoration of the characteristics of the field sources according to their given values at some points, the restoration or interpretation of the original signal from the known output signal, etc. This paper studies the solvability of finding the solution of a differential equation of inverse problems. The work is devoted to the study of the solvability in Sobolev spaces of nonlinear inverse coefficient problems for differential equations of the third order with multiple characteristics. In this paper, alongside with finding the solution of one or another differential equation, it is also required to find one or more coefficients of the equation itself for us to name them inverse coefficient problems. A distinctive feature of the problems studied in this paper is that the unknown coefficient is a numerical parameter, and not a function of certain independent variables.

Cite: Kozhanov A.I. , Abylkayrov U.U. , Ashurova G.R.
Inverse problems of parameter recovery in differential equations with multiple characteristics
Journal of Mathematics, Mechanics and Computer Science. 2022. V.113. N1. P.3-16. DOI: 10.26577/JMMCS.2022.v113.i1.01 WOS Scopus РИНЦ OpenAlex

Dates:

Published print:	Nov 21, 2022
Published online:	Nov 21, 2022

Identifiers:

Web of science:	WOS:000848848600001
Scopus:	2-s2.0-85180199340
Elibrary:	58251749
OpenAlex:	W4223432445

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