Geodesic
An identification problem for singular systems with a small parameter in chemical kinetics
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 175-180

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Direct and inverse problems for singular systems with small parameter are stated, which describe catalytic reactions in chemical kinetics. The solution of the direct problem is based on the method of integral manifolds. The inverse problem reduces to finding the coefficients of the polynomial in the right-hand part of the slow equation according to the solution given on the slow surface of the system. The above arguments make it possible to obtain existence and uniqueness condition for the coefficients in the right-hand part of the slow system.
Keywords: mathematical modeling, singularly perturbed system, integral manifold, slow surface, inverse problem. 
@article{SEMR_2016_13_a70,
     author = {L. I. Kononenko},
     title = {An identification problem for singular systems with a small parameter in chemical kinetics},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {175--180},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a70/}
}
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L. I. Kononenko. An identification problem for singular systems with a small parameter in chemical kinetics. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 175-180. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a70/