Characterization of Ulam-Hyers stability of linear differential equations with periodic coefficients

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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On the Hyers-Ulam stability of the linear differential equation
Functional analysis, Sobolev spaces and partial differential equations
Exponential trichotomy of differential systems
Ordinary differential equations in Banach spaces
Dichotomies in stability theory
A general approach to nonautonomous shadowing for nonlinear dynamics
Best constant for Ulam stability of Hill's equations
A necessary and sufficient condition for Hyers-Ulam stability of first-order periodic linear differential equations
Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders
Ulam stability of operators
Hyers-Ulam stability with respect to gauges
Linear differential equations and functional analysis. I
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Hyers-Ulam stability and exponential dichotomy of linear differential periodic systems are equivalent
Hyers–Ulam stability of linear differential operator with constant coefficients
Hyers–Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients
Shadowing for infinite dimensional dynamics and exponential trichotomies
Spectral characterizations for Hyers-Ulam stability
On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces

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