Non-continuation results for differential equations by several Lyapunov functions

DOI10.1016/0022-247X(84)90029-5zbMath0591.34046OpenAlexW1985245489MaRDI QIDQ1074756

Jitsuro Sugie, Tadayuki Hara, Toshiaki Yoneyama

Publication date: 1984

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(84)90029-5

zbMATH Keywords

Lyapunov functionsfirst order differential equationNon-continuability of solutions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Qualitative behavior of solutions of Liénard-type systems with state-dependent impulses

Cites Work

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• Continuation results for differential equations by two Liapunov functions
• Stability theory by Liapunov's direct method
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
• Properties of Solutions of $u + c(t)f(u)h(u') = 0$ with Explicit Initial Conditions

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