Liapunov functions and boundedness

DOI10.1016/0022-247X(77)90230-XzbMath0386.34050OpenAlexW2019501645MaRDI QIDQ1249692

Theodore Allen Burton

Publication date: 1977

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90230-x

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

On the generalized Liénard equation without the signum condition ⋮ On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay ⋮ On the uniform ultimate boundedness of the solutions of certain third order differential equations ⋮ Generalized Liapunov functions ⋮ Generalized Liapunov functions ⋮ Differential inequalities for Liapunov functions ⋮ Ultimate boundedness of the solutions of certain third order nonlinear non-autonomous differential equations

Cites Work

• On Liapunov functions for nonautonomous systems
• Stability theory for ordinary differential equations
• An extension of Liapunov's direct method
• Correction to An extension of Liapunov's direct method
• COMPLETE STABILITY OF A NONLINEAR CONTROL SYSTEM
• The Generalized Lienard Equation
• Lyapunov Theory and Perturbations of Differential Equations
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