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

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0779420

Entities

People

  • R. C. Brown

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra

Technology Areas

  • Space
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