Approximation of the Solution of an Inverse Problem for a Singularly Perturbed System of Partial Differential Equations

• Published in: Differential equations Vol. 59; no. 6; pp. 762 - 768
• Main Author: Denisov, A. M.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.06.2023; Springer; Springer Nature B.V
• Subjects: Approximation; Boundary value problems; Difference and Functional Equations; Differential equations; Inverse problems; Mathematical analysis; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations

We consider an initial–boundary value problem for a singularly perturbed system of partial differential equations. We pose an inverse problem of determining an unknown initial condition based on additional information about the solution of the initial–boundary value problem. It is proved that using...