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Green-Samoilenko function of linear extensions of dynamical systems on a torus

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Publication:2155035
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DOI10.1007/S10958-022-05922-9zbMath1502.34021OpenAlexW4283015379MaRDI QIDQ2155035

V. L. Kulyk, N. V. Stepanenko

Publication date: 15 July 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05922-9



Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Green's functions for ordinary differential equations (34B27) Ordinary differential equations and systems on manifolds (34C40)





Cites Work

  • Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\)
  • Dichotomies and Lyapunov functions
  • On the reducibility of almost periodic systems of linear differential equations
  • Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems
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