Accession Number : AD0779420

Title :   Duality Theory for Nth Order Differential Operators Under Stieltjes Boundary Conditions. II: Nonsmooth Coefficients and Nonsingular Measures.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Brown,R. C.

Report Date : APR 1974

Pagination or Media Count : 50

Abstract : Adjoint relations are characterized for an nth order vector valued differential system with nonsmooth coefficients and with boundary conditions represented by Stieltjes measures of bounded variation when the system is viewed as an operator with domain and range in a space of (L sup p) integrable functions. This is done by developing an abstract theory of normally solvable linear relations and by constructing a compact partial inverse (generalized Green's matrix) for the operator. (Author)

Descriptors :   *BOUNDARY VALUE PROBLEMS, *NUMERICAL ANALYSIS, BANACH SPACE, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, MEASURE THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE