Total Stability of Sets for Nonautonomous Differential Systems
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Publication:3714439
DOI10.2307/2000056zbMath0587.34040OpenAlexW4252636762MaRDI QIDQ3714439
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2000056
Lyapunov-like functionsfirst order differential equationnonautonomous ordinary differential equationstotal stabilitynonautonomous Lurie-type nonlinear equations
Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)
Related Items (4)
On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Total stability in nonlinear discrete Volterra equations with unbounded delay
Cites Work
- Contributions to stability theory
- Existence, uniqueness, and stability theorems for bounded solutions of nonlinear differential systems
- Lipschitz stability of nonlinear systems of differential equations
- Stability theory by Liapunov's direct method
- Perturbation theorems for nonlinear systems of ordinary different equations
- Absolute stability of noncompact sets
- Ordinary and asymptotic stability of noncompact sets
- On the asymptotic behaviour of nonlinear systems of ordinary differential equations
- Recent Advances in Liapunov Stability Theory
- On the stability of motion
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