Accession Number : AD0725760

Title :   Local Behavior of Autonomous Neutral Functional Differential Equations,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Hale,Jack K.

Report Date : JUN 1971

Pagination or Media Count : 19

Abstract : A neutral functional differential equation is a model for an hereditary system which depends upon the present and past values of the state and the derivative of the state of the system as a function of time. In this generality, it does not seem possible to develop a general qualitative theory. In the past few years, the author and his colleagues have introduced a special class of these systems which is simple enough to have many interesting mathematical properties and yet sufficiently general to include retarded functional differential equations, difference equations and several important applications. Considered separately, many of the results which have been obtained appear at first glance to be special. In this paper, some basic problems for a more restricted class of neutral functional differential equations are formulated in an abstract manner. The manner in which the alluded to special results contribute to a general qualitative theory in the neighborhood of an equilibrium point is indicated. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, FUNCTIONAL ANALYSIS), BANACH SPACE, BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION, TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE