Liapunov functions and boundedness and global existence of solutions
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Publication:5664232
DOI10.1080/00036817208839047zbMath0251.34021OpenAlexW2078752911WikidataQ58159685 ScholiaQ58159685MaRDI QIDQ5664232
Publication date: 1973
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036817208839047
Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)
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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
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