New Stability Results for Nonautonomous Systems.
BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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The principal result Theorem 1 extends the notion of a Liapunov function for time-varying systems, relates this Liapunov function to studying the asymptotic behavior of solutions, and generalizes past results due to Marachkov, Yoshizawa, LaSalle, Artstein, and Onuchic. This is, hopefully, the ultimate generalization.
- Theoretical Mathematics