Lagrange Stability of Semilinear Differential-Algebraic Equations and Application to Nonlinear Electrical Circuits

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• Main Author: Filipkovska, M.S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145867
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Lagrange Stability of Semilinear Differential-Algebraic Equations and Application to Nonlinear Electrical Circuits / M.S. Filipkovska // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 169-196. — Бібліогр.: 24 назв. — англ.

A semilinear differential-algebraic equation (DAE) is studied focusing on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as well as the conditions of the boundedness of the g...