Lyapunov vector functions, Krasnosel'skii canonical domains, and existence of Poisson bounded solutions

DOI10.1134/S0012266120010002XzbMath1459.34089OpenAlexW3105939820MaRDI QIDQ2212351

K. S. Lapin

Publication date: 23 November 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120010002x

zbMATH Keywords

bounded solutionLyapunov vector functionspartial bounded solutionPoisson bounded solution

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Nonautonomous smooth dynamical systems (37C60)

Related Items

Poisson total boundedness and total oscillability of solutions to systems of differential equations ⋮ Lyapunov vector functions, rotation of vector fields, guiding functions, and the existence of Poisson bounded solutions

Cites Work

• Ultimate boundedness in the sense of Poisson of solutions to systems of differential equations and Lyapunov functions
• Uniform boundedness in the sense of Poisson of solutions of systems of differential equations and Lyapunov vector functions
• Stability theory for ordinary differential equations
• Transformation theory of non-linear differential equations of the second order
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