Generalized Green's Functions and Generalized Inverses for Linear Differential Systems with Stieltjes Boundary Conditions.
Abstract
Generalized Green's functions are characterized for the compatible linear differential system l(y) = y' + Py the integral from 0 to 1 of d nu y = 0, where nu is an m x n matrix valued measured, and the system is considered as an operator with domain and range in (L sup p, sub n)(0,1), (1 < or = p < Infinity). The analogue of the principal generalized Green's matrix in the sense of Reid is defined. This allows us to determine generalized inverses via certain natural projections for the operator. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1973
- Accession Number
- AD0761865
Entities
People
- R. C. Brown
Organizations
- University of Wisconsin–Madison