ON THE THEORY OF THE CAUCHY-PROBLEM FOR AN ORDINARY DIFFERENTIAL-EQUATION WITH DISCONTINUOUS RIGHT-HAND SIDE

Authors
FILIPPOV VV
Citation
Vv. Filippov, ON THE THEORY OF THE CAUCHY-PROBLEM FOR AN ORDINARY DIFFERENTIAL-EQUATION WITH DISCONTINUOUS RIGHT-HAND SIDE, Sbornik. Mathematics, 83(2), 1995, pp. 383-403
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
83
Issue
2
Year of publication
1995
Pages
383 - 403
Database
ISI
SICI code
1064-5616(1995)83:2<383:OTTOTC>2.0.ZU;2-Z
Abstract
An apparatus is developed for proving theorems on the existence of a s olution of the Cauchy problem and on continuous dependence of solution s on the initial conditions and parameters, applicable to situations n ot covered by known results on this subject.