
Accession Number : AD0681361
Title : EXTENSION AND BEHAVIOR AT INFINITY OF SOLUTIONS OF CERTAIN LINEAR OPERATIONAL DIFFERENTIAL EQUATIONS,
Corporate Author : CALIFORNIA UNIV LOS ANGELES
Personal Author(s) : Fattorini,H. O.
Report Date : 1968
Pagination or Media Count : 59
Abstract : Let E be a complex Banach space, A, B linear operators with domains D(A), D(B) dense in E and range in E. An Evalued function u(.) defined and twice continuously differentiable in t = or > O is said to be a solution of the operational differential equation (1.1) u double prime + Bu(t) + Au(t) = O in (O, infinity) if u(t) epsilon D(A), u'(t) epsilon D(B), Au(.) and Bu(.) are continuous functions and (1.1) is satisfied everywhere in t = or > O. The problem of obtaining global estimates for the solutions of (1.1) are discussed on the basis of the given hypotheses. (Author)
Descriptors : (*FUNCTIONAL ANALYSIS, DIFFERENTIAL EQUATIONS), (*CAUCHY PROBLEM, LINEAR SYSTEMS), OPERATORS(MATHEMATICS), BANACH SPACE, HILBERT SPACE, INTEGRAL TRANSFORMS, TOPOLOGY, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE