Lyapunov-schmidt reduction of differential-algebraic equation
Author
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 33, Issue 3A (30 Sep. 2007), pp.34-43, 10 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2007-09-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract AR
في هذا البحث درسنا الاستقرارية المطلقة لنقطة الاتزان للمعادلة التفاضلية الجبرية الوسيطية من النوع X = ƒ(X, Y, λ) 0 = g(X, Y, λ), x ЄRn, y Є Rm بواسطة استخدام طريقة لبايونوف للتقليص (Lyapunov Schmdit Reduction).
النتيجة الرئيسية للبحث هـي أنه استقرارية وعـدم استقرارية نقطة الاتـزان (X0, Y0, λ0) للمعاملة أعلاه يمكن معرفتها بمعرفة إشارة المصفوفة Dy G حيث G هي الدالة المقلصة و التي يمكــن الحصول عليها من طريقة ليابونوف المستخدمة في هذا البحث و تحت شرط : rank Dy g(X0, Y0, λ0) = m-1
Abstract EN
In this paper we investigate the asymptotic stability of an equilibrium solution of the differential algebraic equations (DAEs) effected by the Lyapunov-Schimdt reduction.
The main conclusion of this paper is that, under the hypothesis, the stability or instability of an equilibrium solution (x0, y0, 0l) of the DAEs is determined by the sign of DyG where G is the reduced function obtained by the Laipunov-Schimdt reduction.
American Psychological Association (APA)
Yasir, Kamal Hamid. 2007. Lyapunov-schmidt reduction of differential-algebraic equation. Journal of Basrah Researches : Sciences،Vol. 33, no. 3A, pp.34-43.
https://search.emarefa.net/detail/BIM-382311
Modern Language Association (MLA)
Yasir, Kamal Hamid. Lyapunov-schmidt reduction of differential-algebraic equation. Journal of Basrah Researches : Sciences Vol. 33, no. 3A (Sep. 2007), pp.34-43.
https://search.emarefa.net/detail/BIM-382311
American Medical Association (AMA)
Yasir, Kamal Hamid. Lyapunov-schmidt reduction of differential-algebraic equation. Journal of Basrah Researches : Sciences. 2007. Vol. 33, no. 3A, pp.34-43.
https://search.emarefa.net/detail/BIM-382311
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 43
Record ID
BIM-382311
