Hyers-Ulam stability and exponential dichotomy of linear differential periodic systems are equivalent
From MaRDI portal
Publication:2803186
DOI10.14232/ejqtde.2015.1.58zbMath1349.34218OpenAlexW2239659195MaRDI QIDQ2803186
Afshan Tabassum, Dorel Barbu, Constantin Buşe
Publication date: 3 May 2016
Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.58
Stability, separation, extension, and related topics for functional equations (39B82) Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items
On the Hyers-Ulam stability of certain nonautonomous and nonlinear difference equations, Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales, Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems, Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient, Parameterized shadowing for nonautonomous dynamics, Characterization of Ulam-Hyers stability of linear differential equations with periodic coefficients, Hyers-Ulam-Rassias stability for nonautonomous dynamics, Best constant for Ulam stability of Hill's equations, Hyers-Ulam stability of first order linear differential equations of Carathéodory type and its application, Hyers-Ulam stability for nonautonomous semilinear dynamics on bounded intervals, Hyers-Ulam stability for a class of perturbed Hill's equations, Hyers–Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients, Hyers-Ulam stability for linear differences with time dependent and periodic coefficients: the case when the monodromy matrix has simple eigenvalues, Hyers-Ulam stability for linear differences with time dependent and periodic coefficients, Hyers-Ulam stability for second order linear differential equations of Carathéodory type
