Geodesic
The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables
Matematičeskie zametki SVFU, Tome 28 (2021) no. 2, pp. 3-15
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An iteration algorithm of finding an approximate solution to an inverse problem in the nonsingular case ($\varepsilon$ = 0) is proposed. On each iteration step, the algorithm combines the inverse problem solution for the investigated case $\varepsilon$ = 0 and the direct problem solution which is reduced to the proof of existence and uniqueness theorem in case $\varepsilon$ = 0. We prove a theorem about the convergence of the proposed algorithm; the proof is based on the contraction mapping principle.
Keywords: inverse problem, ordinary differential equation, small parameter, contraction mapping principle, chemical kinetics. 
@article{SVFU_2021_28_2_a0,
     author = {L. I. Kononenko},
     title = {The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {3--15},
     year = {2021},
     volume = {28},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2021_28_2_a0/}
}
TY  - JOUR
AU  - L. I. Kononenko
TI  - The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables
JO  - Matematičeskie zametki SVFU
PY  - 2021
SP  - 3
EP  - 15
VL  - 28
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SVFU_2021_28_2_a0/
LA  - ru
ID  - SVFU_2021_28_2_a0
ER  - 
%0 Journal Article
%A L. I. Kononenko
%T The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables
%J Matematičeskie zametki SVFU
%D 2021
%P 3-15
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/SVFU_2021_28_2_a0/
%G ru
%F SVFU_2021_28_2_a0
L. I. Kononenko. The identification problem for a nonsingular system of ordinary differential equations with fast and slow variables. Matematičeskie zametki SVFU, Tome 28 (2021) no. 2, pp. 3-15. http://geodesic.mathdoc.fr/item/SVFU_2021_28_2_a0/