ON ASYMPTOTIC SOLUTIONS OF SYSTEMS OF DIFFERENTIAL-EQUATIONS WITH DEVIATING ARGUMENT IN CERTAIN CRITICAL CASES

Authors
Citation
Sd. Furta, ON ASYMPTOTIC SOLUTIONS OF SYSTEMS OF DIFFERENTIAL-EQUATIONS WITH DEVIATING ARGUMENT IN CERTAIN CRITICAL CASES, Sbornik. Mathematics, 78(1), 1994, pp. 175-186
Citations number
28
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
10645616
Volume
78
Issue
1
Year of publication
1994
Pages
175 - 186
Database
ISI
SICI code
1064-5616(1994)78:1<175:OASOSO>2.0.ZU;2-Q
Abstract
Sufficient conditions are found for the existence of particular soluti ons of the system x(t) = f(x(t), x(t + t1) ,..., x(t + t(k))), x is-an -element-of R(n), that converge to the critical point x = 0 as t --> infinity or as t --> -infinity, but not exponentially.