A practical method for determining Green's functions using Hadamard's variational formula

Author:

Kagiwada H. H.,Kalaba R. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference6 articles.

1. Courant, R., andHilbert, D.,Methods of Mathematical Physics, Vol. I, Interscience Publishers, New York, 1953.

2. Frank, P., andMises, R. V.,Die Differential- und Integralgleichungen der Mechanik und Physik, Mary S. Rosenberg, New York, 1943.

3. Bergman, S., andSchiffer, M.,Kernel Functions and Elliptic Differential Equations in Mathematical Physics, Academic Press, New York, 1953.

4. Bellman, R. E.,Functional Equations in the Theory of Dynamic Programming?VIII: The Variation of Green's Functions?One-Dimensional Case, Proceedings of the National Academy of Sciences, Vol. 43, No. 9, 1957.

5. Kagiwada, H. H., andKalaba, R. E.,An Initial-Value Method Suitable for the Calculation of Certain Fredholm Resolvents, The RAND Corporation, Report No. RM-5258-PR, 1967.

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