Total Poisson boundedness of solutions of \(\mathcal{P}\)-perturbed complex systems of differential equations

DOI10.3103/S1066369X19100074zbMath1448.34072OpenAlexW2988105060MaRDI QIDQ2191540

K. S. Lapin

Publication date: 25 June 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x19100074

zbMATH Keywords

Lyapunov functioncomplex system\(\mathcal{P}\)-perturbed systemtotal Poisson boundedness of solutions

Mathematics Subject Classification ID

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

Related Items (1)

Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions

Cites Work

• Stability theory by Liapunov's direct method
• 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
• Vector Lyapunov functions and ultimate Poisson boundedness of solutions of systems of differential equations
• Poisson total boundedness of solutions of systems of differential equations and Lyapunov vector functions
• Higher Lyapunov functions derivatives and total Poisson boundedness of solutions
• Investigation of certain stability-theory problems by the vector Lyapunov function method
• The Application of Lyapunov’s Second Method to Interconnected Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Total Poisson boundedness of solutions of \(\mathcal{P}\)-perturbed complex systems of differential equations