On the stability of equilibrium for almost periodic systems

DOI10.1016/S0362-546X(96)00078-8zbMath0880.34050MaRDI QIDQ4346026

Alexander Olegovich Ignatyev

Publication date: 6 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

stability of equilibriumalmost periodic systems of ordinary differential equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (12)

A generalization of Barbashin-Krasovski theorem ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ On global asymptotic stability of the equilibrium of ``predator-prey system in varying environment ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ On necessary conditions for global asymptotic stability of equilibrium for the Liénard equation ⋮ New criterion of partial asymptotic stability in probability of stochastic differential equations ⋮ Asymptotic stability and instability criteria for nonautonomous systems ⋮ On the global asymptotic stability of the equilibrium of the Lotka-Volterra equations in a varying environment ⋮ Barbashin-Krasovskii theorem for stochastic differential equations ⋮ A weaker criterion of asymptotic stability ⋮ A weak condition for global stability of delayed neural networks ⋮ Using an analog of the Lyapunov function with sign-alternating derivative in the study of global asymptotic stability of equilibria

Cites Work

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• Stability theory by Liapunov's direct method
• Forced quasiperiodic and almost periodic solution for nonlinear systems
• On the theory of stability of motion

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