Methods of elimination and the problem of nonuniqueness of inverse problem solutions in models of non-stationary chemical kinetics (linear systems)

In a previous work [1] we presented the method of inverse problem analysis for models of non-stationary chemical kinetics. This problem was solved by transition to a higher order system of differential equations for the measurable variables only. The aim of the present paper is to develop this method for a more restricted class of models, which describes first order chemical reactions. For such models both the algorithm and the final formulae are considerably simplified.