Best Ulam constants for two-dimensional nonautonomous linear differential systems

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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Best constant in stability of some positive linear operators
Hyers-Ulam stability and discrete dichotomy for difference periodic systems
Dichotomies in stability theory
Stability of functional equations in single variable.
Best constant for Hyers-Ulam stability of two step sizes linear difference equations
On the best constant in Hyers-Ulam stability of some positive linear operators
Hyers-Ulam stability for nonautonomous semilinear dynamics on bounded intervals
On the best Ulam constant of a first order linear difference equation in Banach spaces
A general approach to nonautonomous shadowing for nonlinear dynamics
Hyers-Ulam stability for a class of perturbed Hill's equations
Weighted shadowing for delay differential equations
Hyers-Ulam stability for differential systems with \(2\times 2\) constant coefficient matrix
Best constant for Ulam stability of first-order \(h\)-difference equations with periodic coefficient
Best constant for Ulam stability of Hill's equations
On the best Ulam constant of a higher order linear difference equation
Shadowing for nonautonomous difference equations with infinite delay
On the best Ulam constant of the second order linear differential operator
Shadowing for nonautonomous dynamics
On Ulam's type stability of the linear equation and related issues
Ulam stability of operators
Stability of dynamical systems. On the role of monotonic and non-monotonic Lyapunov functions
Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient
Hyers–Ulam stability for equations with differences and differential equations with time-dependent and periodic coefficients
Shadowing for infinite dimensional dynamics and exponential trichotomies
Conditional Lipschitz shadowing for ordinary differential equations

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