Accession Number : AD0703341

Title :   GENERALIZED INVARIANCE PRINCIPLES AND THE THEORY OF STABILITY,

Corporate Author : BROWN UNIV PROVIDENCE R I CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : LaSalle,J. P.

Report Date : 1970

Pagination or Media Count : 12

Abstract : During the period 1960-65 there was developed for ordinary differential equations an extension of Liapunov's stability theory based on a simple exploitation of the invariance property of limit sets of solutions. The basic result of this theory has been called an 'invariance principle'. The purpose of this paper is to describe some recent extensions of the invariance principle to more generalized dynamical systems where the state space is not locally compact and the flow is unique only in the forward direction of time. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, *DIFFERENTIAL EQUATIONS), INVARIANCE, TOPOLOGY, STABILITY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE