Accession Number:

AD0755061

Title:

The Adjoint and Fredholm Index of a Linear System with General Boundary Conditions.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Brown,R. C.

Report Date:

1972-12-01

Pagination or Media Count:

49.0

Abstract:

Conditions for the existence of the adjoint a first order vector valued linear differential system with boundary conditions represented by a matrix valued measure are derived when the system is viewed as an operator with domain and range in Lsub n, sup p0,1, 1 or p infinity. The adjoint is then constructed when these conditions are satisfied. Both operator and its adjoint are shown to be normally solvable Fredholm operators and a brief analysis of their states and spectra is given. Author

Descriptors:

• (*BOUNDARY VALUE PROBLEMS
• FUNCTIONAL ANALYSIS)
• OPERATORS(MATHEMATICS)
• MEASURE THEORY
• MATRICES(MATHEMATICS)
• CONVEX SETS
• VECTOR SPACES
• THEOREMS
• INTEGRAL EQUATIONS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE