Lyapunov functions, Krasnosel'skii canonical domains, and the existence of Poisson bounded solutions
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Publication:2217267
DOI10.1134/S0001434620110097zbMath1496.34067OpenAlexW3112739457MaRDI QIDQ2217267
Publication date: 29 December 2020
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434620110097
Lyapunov functionexistence of solutionsPoisson bounded solutionKrasnosel'skii canonical domainpartially bounded solution
Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)
Cites Work
- Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions
- On partial stability theory of nonlinear dynamic systems
- 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
- Higher-order derivatives of Lyapunov functions and ultimate boundedness in the sense of Poisson of solutions to systems of differential equations
- 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
- 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
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