Accession Number:

ADA046446

Title:

Some Results on Liapunov Functions and Generated Dynamical Systems,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

Report Date:

1977-09-08

Pagination or Media Count:

40.0

Abstract:

This paper presents several results pertaining to the use of lower semicontinuous Liapunov functions in the analysis of autonomous abstract evolution equations. Such functions can be useful in setting up a nonlinear dynamical system that need not satisfy any exponential estimate, as well as in locating positive invariant sets of the resulting dynamical system. Other results concern the computation of the derivative of a lower semicontinuous Liapunov function, the use of such a function to assure precompactness of positive orbits, and a version of the Invariance Principle that is valid for lower semicontinuous Liapunov functions. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE