ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Synthesis of Differential Equations and Related Groups On Manifolds


A. V. Flegontov

St.-Petersburg, Russia,
Institute for Informatics and Automation of the
Russian Academy of Science


Differential equations admitting base forms of an analytic representation of solutions in a class of polynomial functions are considered. Invariants of continuous and discrete groups of transformations are obtained. New methods of synthesis of differential equations with a priori symmetry are presented. Examples of systems of high order differential equations are given.

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