TY - JOUR
AU - Larisa Kononenko
PY - 2024/09/13
Y2 - 2024/09/13
TI - The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables
JF - Mathematical notes of NEFU
JA - Math. notes NEFU
VL - 28
IS - 2
SE - Mathematics
DO - https://doi.org/10.25587/SVFU.2021.58.21.001
UR - https://mzsvfu.ru/index.php/mz/article/view/the-identification-problem-for-a-nonsingular-system-of-ordinary
AB - An iteration algorithm of finding an approximate solution to an inverse problem in the nonsingular case (ε = 0) is proposed. On each iteration step, the algorithm combines the inverse problem solution for the investigated case ε = 0 and the direct problem solution which is reduced to the proof of existence and uniqueness theorem in case ε = 0. We prove a theorem about the convergence of the proposed algorithm; the proof is based on the contraction mapping principle.
ER -