Stability implications on the asymptotic behavior of nonlinear systems

Kuo-Liang Chiou

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-8

Abstract:

In this paper we generalize Bownds' Theorems (1) to the systems d Y ( t ) d t = A ( t ) Y ( t ) and d X ( t ) d t = A ( t ) X ( t ) + F ( t , X ( t ) ) . Moreover we also show that there always exists a solution X ( t ) of d X d t = A ( t ) X + B ( t ) for which lim t → ∞ sup ‖ X ( t ) ‖ > o ( = ∞ ) if there exists a solution Y ( t ) for which lim t → ∞ sup ‖ Y ( t ) ‖ > o ( = ∞ ) .

Date: 1982
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/5/903458.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/5/903458.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:903458

DOI: 10.1155/S0161171282000106

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().