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

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

Investigations in the Local Qualitative Theory of Differential Equations at the Chair of Differential Equations of Petersburg University

Author(s):

A. F. Andreev

St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya sq., 2, 198904, St.Petersburg, Russia

anna@AZ1918.spb.edu

Yu. N. Bibikov

St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya sq., 2, 198904, St.Petersburg, Russia

anna@AZ1918.spb.edu

Abstract:

This review is devoted to achievements of members of the chair of differential equations in 1969-1999 in the field of the local qualitative theory of differential equations. The list of research fields includes second-order systems (structure of the set of trajectories, investigation of an isolated singular point by Frommer's method, the center-focus problem), n-dimensional systems (the distinguishing problem for exceptional directions, investigation of neighborhoods of invariant manifolds for homogeneous and quasihomogeneous systems, existence on invariant tori), linear and quasilinear systems. Bibliogr. 87 titl.

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