Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions

DOI10.1134/S0001434616010272zbMath1343.34082OpenAlexW2313477025MaRDI QIDQ295996

K. S. Lapin

Publication date: 14 June 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616010272

zbMATH Keywords

stabilityequilibriumLyapunov methodpartial total boundednesspartial total equiboundednesspartially controlled initial conditions

Mathematics Subject Classification ID

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

Related Items (7)

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 partial boundedness of solutions with partially controllable initial conditions ⋮ Poisson total boundedness and total oscillability of solutions to systems of differential equations ⋮ Lyapunov functions, Krasnosel'skii canonical domains, and the existence of Poisson bounded solutions ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Partial stability and control: the state-of-the-art and future trends

This page was built for publication: Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions