On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions

DOI10.1134/S0012266121110021zbMath1491.34024OpenAlexW4207052620WikidataQ115249113 ScholiaQ115249113MaRDI QIDQ2070456

N. A. Izobov, Andrew V. Ilin

Publication date: 24 January 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121110021

zbMATH Keywords

linear differential systemsexponentially decaying pertubationspositive characteristic exponents

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (3)

Small perturbations may change the sign of Lyapunov exponents for linear SDEs ⋮ Existence of an anti-Perron effect of change of positive exponents of the linear approximation system to negative ones under perturbations of a higher order of smallness ⋮ Linear version of the anti-Perron effect of change of positive characteristic exponents to negative ones

Cites Work

• Unnamed Item
• Unnamed Item
• Constructing countably many distinct Suslin sets of characteristic exponents in the Perron effect of change of their values
• Construction of an arbitrary Suslin set of positive characteristic exponents in the Perron effect
• On linear systems asymptotically equivalent under exponentially decaying perturbations

This page was built for publication: On the existence of linear differential systems with all positive characteristic exponents of the first approximation and with exponentially decaying perturbations and solutions