Proof of the Basic Invariant Imbedding Method for Fredholm Integral Equations with Displacement Kernels -- II
Jan 1, 1969
|Add to Cart||Paperback30 pages||$20.00||$16.00 20% Web Discount|
A validation for the invariant imbedding method for the case of a Fredholm integral equation in which the forcing term is an exponential function. Application of the invariant imbedding approach has resulted in various transformations for converting integral equations, two-point boundary-value problems, and variational problems into easily computed Cauchy problems. To consolidate these analytic and computational gains and improve understanding of the associated Cauchy problems, this Memorandum proves, conversely, that the solution of the Cauchy problem satisfies the original functional equation. RM-6038, a companion study, completes the validation by offering a proof for the case of a general forcing term g.
This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.