Accession Number : AD0722070

Title :   Hereditary Differential Systems with Constant Delays. I. General Case,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Delfour,M. C. ; Mitter,S. K.

Report Date : APR 1971

Pagination or Media Count : 68

Abstract : The paper presents a discussion of the structure of hereditary differential systems defined on a Banach space with initial data in the space of p-integrable maps. Both finite and infinite time histories are allowed. A unified approach to Global and Local Cauchy problems on finite or infinite time intervals is presented. An existence theorem for Caratheodory systems and an existence and uniqueness theorem for Lipschitz systems are derived. In both cases continuity of a solution with respect to the initial data is established. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, BANACH SPACE), CONTROL SYSTEMS, CAUCHY PROBLEM, MAPPING(TRANSFORMATIONS), TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE