Uniform boundedness in the sense of Poisson of solutions of systems of differential equations and Lyapunov vector functions

DOI10.1134/S0012266118010056zbMath1395.34038OpenAlexW2799516290MaRDI QIDQ1649466

K. S. Lapin

Publication date: 6 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118010056

zbMATH Keywords

equiboundedness in the sense of PoissonLyapunov vector functionsupper Dini derivative

Mathematics Subject Classification ID

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

Related Items (9)

Total Poisson boundedness of solutions of \(\mathcal{P}\)-perturbed complex systems of differential equations ⋮ Krasnoselskii canonical domains and the existence of nonnegative Poisson bounded solutions ⋮ Poisson total boundedness and total oscillability of solutions to systems of differential equations ⋮ Lyapunov vector functions, Krasnosel'skii canonical domains, and existence of Poisson bounded solutions ⋮ Lyapunov functions, Krasnosel'skii canonical domains, and the existence of Poisson bounded solutions ⋮ Lyapunov vector functions, rotation of vector fields, guiding functions, and the existence of Poisson bounded solutions ⋮ Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions ⋮ Higher Lyapunov functions derivatives and total Poisson boundedness of solutions ⋮ Guiding functional families, Lyapunov vector functions, and the existence of Poisson bounded solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions
• Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions
• On partial stability theory of nonlinear dynamic systems
• Ultimate boundedness with respect to part of the variables of solutions of systems of differential equations with partly controlled initial conditions
• Partial uniform boundedness of solutions of systems of differential equations with partly controlled initial conditions
• Uniform boundedness in part of the variables of solutions to systems of differential equations with partially controllable initial conditions
• Stability in part of the variables of ``partial equilibria of systems with aftereffect

This page was built for publication: Uniform boundedness in the sense of Poisson of solutions of systems of differential equations and Lyapunov vector functions