Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions

DOI10.3103/S1066369X21090048zbMath1486.34081OpenAlexW3205692315MaRDI QIDQ2066446

K. S. Lapin

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21090048

zbMATH Keywords

guiding functionLyapunov vector functionrotation of vector fieldguiding functional familypartial Poisson boundedness of solutionPoisson boundedness of solution

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

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
• Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations
• Method of guiding functions for existence problems for periodic solutions of differential equations
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