INVERSE PROBLEMS OF PARAMETER RECOVERY IN DIFFERENTIAL EQUATION WITH MULTIPLE CHARACTERISTICS
Kozhanov A.I. Abylkayrov U.U. Ashurova G.R.
31 March 2022al-Farabi Kazakh State National University
KazNU Bulletin. Mathematics, Mechanics, Computer Science Series
2022#113Issue 13 - 16 pp.
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.
Inverse problems , multiple characteristics , numerical parameter , solvability , third-order equations
Text of the article Перейти на текст статьи
Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation
Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Sobolev Institute of Mathematics
Novosibirsk State University
Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026