Lyapunov vector functions and partial boundedness of solutions with partially controlled initial conditions

DOI10.1134/S0012266116050037zbMath1351.34037MaRDI QIDQ311176

K. S. Lapin

Publication date: 29 September 2016

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

zbMATH Keywords

partial equiboundednesspartial equiboundedness in the limitsufficient criterion

Mathematics Subject Classification ID

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

Related Items (4)

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

Cites Work

• Unnamed Item
• On partial stability theory of nonlinear dynamic systems
• On partial detectability of the 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
• Stability in part of the variables of ``partial equilibria of systems with aftereffect
• Quasistable properties of the solutions of a multiply connected system of differential equations

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