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

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

ResearchPublished 1968

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.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1968
  • Print Format: Paperback
  • Paperback Pages: -245
  • Paperback Price: $20.00
  • Document Number: RM-5599-PR

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RAND Style Manual
Natsuyama, H. H., Robert E. Kalaba, and S. Ueno, Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels. RAND Corporation, RM-5599-PR, 1968. As of September 24, 2024: https://www.rand.org/pubs/research_memoranda/RM5599.html
Chicago Manual of Style
Natsuyama, H. H., Robert E. Kalaba, and S. Ueno, Invariant Imbedding and Fredholm Integral Equations with Pincherle-Goursat Kernels. Santa Monica, CA: RAND Corporation, 1968. https://www.rand.org/pubs/research_memoranda/RM5599.html. Also available in print form.
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