Duality Theory for Nth Order Differential Operators under Stieltjes Boundary Conditions.

Abstract

The adjoint of an nth order vector valued linear differential system with boundary conditions represented by singular matrix valued measures is constructed when the system is viewed as an operator with domain and range in a space of (L sup p) integrable functions. Both the operator and its adjoint are shown to be normally solvable. The theory is then applied to the multipoint boundary value problem of Wilder, and some examples are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1973
Accession Number
AD0764567

Entities

People

  • R. C. Brown

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space