Liapunov functions and boundedness and global existence of solutions

DOI10.1080/00036817208839047zbMath0251.34021OpenAlexW2078752911WikidataQ58159685 ScholiaQ58159685MaRDI QIDQ5664232

John R. Haddock

Publication date: 1973

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817208839047

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 (18)

Bounded and periodic solutions of finite delay evolution equations ⋮ Bounded and periodic solutions of differential equations in Banach space ⋮ Necessary and Sufficient Conditions for the Continuability of Solutions of the System ⋮ Periodic solutions for non-autonomous neutral functional differential equations with finite delay ⋮ Stability of nonautonomous systems ⋮ Massera problem for some nonautonomous functional differential equations of neutral type with finite delay ⋮ Lyapunov criteria for robust forward completeness of distributed parameter systems ⋮ Stability of bounded and unbounded sets for ordinary differential equations ⋮ Massera problem for non-autonomous retarded differential equations ⋮ Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces ⋮ A necessary and sufficient condition for oscillation of the generalized Liénard equation ⋮ Asymptotic stability and boundedness for functional differential equations ⋮ Generalized Liapunov functions ⋮ Generalized Liapunov functions ⋮ Forward completeness, unboundedness observability, and their Lyapunov characterizations ⋮ Differential inequalities for Liapunov functions ⋮ Periodic solutions for some nonautonomous semilinear boundary evolution equations ⋮ Continuation results for differential equations by two Liapunov functions

Cites Work

• Stability theory for ordinary differential equations
• An extension of Liapunov's direct method
• Liapunov functions and global existence
• Unnamed Item
• Unnamed Item

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