Stability of Nonautonomous Systems,
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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Recent advances in the study of the limiting equations of nonautonomous systems and the invariance properties of positive limit sets of solutions motivate improving some of the known results connected with Liapunovs direct method. The report contains improvements of a theorem due originally to Yoshizawa and some improved sufficient conditions for asymptotic stability and instability. What is done is to again generalize the notion of a Liapunov function. It is noted how the new knowledge concerning invariance properties immediately sharpens the results.
- Theoretical Mathematics