Non-local theorems on solvability of the Cauchy problem for systems of ordinary differential equations

Authors
Zhestkov, SV Zabreiko, PP
Citation
Sv. Zhestkov et Pp. Zabreiko, Non-local theorems on solvability of the Cauchy problem for systems of ordinary differential equations, DAN BELARUS, 43(2), 1999, pp. 13-17
Citations number
9
Categorie Soggetti
Multidisciplinary
Journal title
DOKLADY AKADEMII NAUK BELARUSI
ISSN journal
0002354X → ACNP
Volume
43
Issue
2
Year of publication
1999
Pages
13 - 17
Database
ISI
SICI code
0002-354X(199903/04)43:2<13:NTOSOT>2.0.ZU;2-C
Abstract
In this article some natural sufficient conditions of solvability of the Ca uchy problem on the semiaxis for essentially nonlinear nonautonomous system s of ordinary differential equations are presented. These conditions are ba sed on differential inequalities theorems for systems of ordinary different ial equations (usually called Kamke - Picone - Wazewski comparison principl e).