Asymptotic stability of singular ordinary differential equation established viaextended system reduction
Author
Source
Issue
Vol. 5, Issue 1 (31 Dec. 2014), pp.43-47, 5 p.
Publisher
University of Thi-Qar College of Science
Publication Date
2014-12-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract EN
In this paper we discuss the stability of an equilibrium solution of ODE effected by the extended system reduction.
The main conclusion of this paper is that, under thehypothesis rank (D F) (yo, 0) = n-1, the stability or instability of an equilibrium solution (y0, 0) of y = F (y, a) is determined by the sign of D G where G is the reduced function obtained by the extended system reduction.
Also the stability of a small amplitude periodic solution of ordinary differential equation y = F(y, a) is discussed by the same way.
American Psychological Association (APA)
Yasir, Kamal Hamid. 2014. Asymptotic stability of singular ordinary differential equation established viaextended system reduction. Journal of Thi-Qar Science،Vol. 5, no. 1, pp.43-47.
https://search.emarefa.net/detail/BIM-521936
Modern Language Association (MLA)
Yasir, Kamal Hamid. Asymptotic stability of singular ordinary differential equation established viaextended system reduction. Journal of Thi-Qar Science Vol. 5, no. 1 (Dec. 2014), pp.43-47.
https://search.emarefa.net/detail/BIM-521936
American Medical Association (AMA)
Yasir, Kamal Hamid. Asymptotic stability of singular ordinary differential equation established viaextended system reduction. Journal of Thi-Qar Science. 2014. Vol. 5, no. 1, pp.43-47.
https://search.emarefa.net/detail/BIM-521936
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 47
Record ID
BIM-521936