Poisson total boundedness of solutions of systems of differential equations and Lyapunov vector functions
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Publication:1991794
DOI10.1134/S000143461807026XzbMath1416.34022OpenAlexW2895537955WikidataQ129162821 ScholiaQ129162821MaRDI QIDQ1991794
Publication date: 30 October 2018
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s000143461807026x
boundedness of solutionsLyapunov vector functionpartial boundedness of solutionspartly controlled initial conditionsPoisson total boundedness of solutions
Related Items (5)
Total Poisson boundedness of solutions of \(\mathcal{P}\)-perturbed complex systems of differential equations ⋮ 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 ⋮ Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations ⋮ Vector Lyapunov functions, complete sets of guiding functions, and the existence of Poisson bounded solutions
Cites Work
- 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
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