И.А. Чернов.
Математическое обоснование метода морфологических траекторий
// Труды КарНЦ РАН. No 5. Сер. Математическое моделирование и информационные технологии, вып. 2. 2011. C. 115-119
I.A. Chernov. Mathematical substantiation of the method of morphological trajectories // Transactions of Karelian Research Centre of Russian Academy of Science. No 5. Mathematical Modeling and Information Technologies. 2011. Pp. 115-119
Keywords: morphological trajectory method, existence of solution, well-posedness of the Cauchy problem.
In the paper we present the mathematical basis for the method of morphological trajectories used in physical chemistry. From the mathematical point of view the method is an optimal control problem for the system described by ordinary differential equations. We prove the solvability of the problem and the stability of the solution with respect to perturbations of the controls.
