Uniformly asymptotic stability and total stability

DOI10.2748/tmj/1178242821zbMath0209.11702OpenAlexW2090465242MaRDI QIDQ2543505

Junji Kato

Publication date: 1970

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242821

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for ordinary differential equations (34D99)

Related Items (14)

The existence of almost periodic solution: via coincidence degree theory ⋮ Stability properties for functional differential equations with infinite delay ⋮ Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systemsThis work was supported by the National natural science foundation of China under grant (No.10671127) and Shanghai outstanding discipline leader project (No. 06XD14034) and Shanghai municipal education commission No. 06DZ002. ⋮ Liapunov-Razumikhin pairs and the location of positive limit sets for precompact functional differential equations with infinite delay ⋮ Exponential asymptotic stability for functional differential equations with infinite retardations ⋮ Total stability of perturbed systems of differential equations ⋮ On the stability of nonautonomous functional differential equation ⋮ On the uniqueness of solutions in the hull ⋮ Stability and existence of almost periodic solutions of some functional differential equations ⋮ Invariance principles and asymptotic constancy of solutions of precompact functional differential equations ⋮ Sell's conjecture for non-autonomous dynamical systems ⋮ The Lyapunov functionals method in stability problems for functional differential equations ⋮ Separation conditions and stability properties in almost periodic systems ⋮ Perturbation theorems for functional differential equations with infinite delay via limiting equations

Cites Work

• Perturbing uniform asymptotically stable nonlinear systems
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