Global boundedness and stability of solutions of nonautonomous degenerate differential equations

DOI10.29228/proc.31zbMath1461.34018OpenAlexW3104835410MaRDI QIDQ4991127

M. S. Filipkovskaya

Publication date: 2 June 2021

Published in: Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29228/proc.31

zbMATH Keywords

Lyapunov stabilitydifferential-algebraic equationnonautonomousultimate boundednessLagrange stabilitydegenerate differential equationasymptotic stability in the largeglobal boundedness of solutions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

• Differential-algebraic equations. A projector based analysis
• Degenerate parabolic initial-boundary value problems
• Stability by Liapunov's direct method. With applications
• On a class of differential equations of parabolic type with impulsive action
• Singular control systems
• Lagrange stability and instability of irregular semilinear differential-algebraic equations and applications
• Lagrange Stability of Semilinear Differential-Algebraic Equations and Application to Nonlinear Electrical Circuits
• On Global in Time Solutions for Differential-Algebraic Equations
• Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method
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