Accession Number:

ADA052170

Title:

Generalized Inverses of Linear Differential Operators.

Descriptive Note:

Technical summary rept.,

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS SCHOOL OF MATHEMATICS

Personal Author(s):

Report Date:

1978-03-01

Pagination or Media Count:

54.0

Abstract:

In recent years there has been much activity in the area of generalized inverses of linear operators. It is the purpose of this paper to discuss generalized inverses of linear operators generated by ordinary linear differential equations with a view to examination of an entire class of such inverses. The class of inverses considered includes as special cases the analogue of the Moore-Penrose generalized inverse for matrices and the group inverse for square matrices. We also discuss the application of such inverses in problems of branching of solutions of nonlinear boundary-value problems. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE