A PROPOSAL FOR THE CALCULATION OF CHARACTERISTIC FUNCTIONS FOR CERTAIN DIFFERENTIAL AND INTEGRAL OPERATORS VIA INITIAL-VALUE PROCEDURES,
Abstract
The Memorandum presents an intital-value method for the solution of the inhomogeneous Fredholm integral equation u(t) = g(t) + (lambda) the integral from 0 to c of (k(the absolute value of (t-y))u(y)dy). These equations and an expansion formula of classical analysis allow a proposal to be made for calculating the solutions to the homogeneous equation phi(t) = (lambda) the integral from 0 to c of (k(the absolute value of (t-y))phi(y)dy). The Memorandum discusses possible numerical difficulties and presents extensions to other types of linear operators. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1970
- Accession Number
- AD0703702
Entities
People
- J. Casti
- Mark J. Scott
- Robert E. Kalaba
Organizations
- RAND Corporation