Аннотации:
We investigate di erential-algebraic equations arising in mathematical models that
describe some radio-technical devises. A class of di erential-algebraic equations is described, for which necessary and su cient conditions for global in time existence of solutions are proved. As well as in many papers where su cient conditions for such equations are obtained, we reduce them to ordinary di erential equations and then apply the necessary
and su cient conditions for the latter. We deal with the systems whose matrix pencil is
regular and (for simplicity) the characteristic polynomial satis es the rank-degree condition.
We also require some additional conditions that allow us to reduce the di erential-algebraic
system to ordinary di erential one.
Описание:
Yu.E. Gliklikh, Voronezh State University, Voronezh, Russian Federation,
yeg@math.vsu.ru. Юрий Евгеньевич Гликлих, доктор физико-математических наук, Воронежский государственный университет (г. Воронеж, Российская Федерация), yeg@math.vsu.ru.