Geodesic
Inverse problem of chemical kinetics as a composition of binary correspondences
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 48-53

Voir la notice de l'article provenant de la source Math-Net.Ru

Binary correspondences are employed for formalization of the notion of problem, definition of the basic components of problems, their properties, and constructions (the condition of a problem, its data and unknowns, solvability and unique solvability of a problem, inverse problem, and composition of problems). As an illustration, we consider a system of differential equations which describe a process in chemical kinetics. Within the study of the inverse problem, a criterion is established for linear independence of functions in terms of finite sets of their values.
Keywords: Differential equation, chemical kinetics, inverse problem, linear independence, binary correspondence, solvability
Mots-clés : composition. 
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     author = {A. E. Gutman and L. I. Kononenko},
     title = {Inverse problem of chemical kinetics as a composition of binary correspondences},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {48--53},
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     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a85/}
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A. E. Gutman; L. I. Kononenko. Inverse problem of chemical kinetics as a composition of binary correspondences. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 48-53. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a85/