Cover: Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels.

Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels.

Published 1968

by H. H. Natsuyama, Robert E. Kalaba, S. Ueno

Purchase Print Copy

 Format Price
Add to Cart Paperback-245 pages $20.00

An analytical procedure for solving Fredholm integral equations of the second kind with Pincherle-Goursat (degenerate) kernels. In the invariant imbedding approach used, the solution at a fixed value of t is studied as the length of the interval is varied. A Cauchy problem is derived, and it is verified that the initial-value method produces a solution of the integral equation. Such a procedure should prove a valuable alternative to the usual algebraic method, and should find application in signal detection, gas dynamics, radiative transfer, and mathematical biology. 20 pp. Refs.

This report is part of the RAND research memorandum series. The Research Memorandum was a product of RAND 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.

RAND 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.