The Operator Theory of Generalized Boundary Value Problems.

Abstract

Adjoint relations are characterized for regular or certain singular nth order differential systems constrained by infinitely many homogenous 'locally regular' side conditions represented by Stieltjes measures. The system is viewed as generating both 'maximal' and 'minimal' operators on appropriate subspaces of the locally integrable functions. The adjoint relations are determined with respect to an arbitrary 'dual pairing' in the sense of R. Arens.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1975
Accession Number
ADA010092

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

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra