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A practical method for determining Green’s functions using Hadamard’s variational formula. (English) Zbl 0148.33703


MSC:

34B27 Green’s functions for ordinary differential equations
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[1] Courant, R., andHilbert, D.,Methods of Mathematical Physics, Vol. I, Interscience Publishers, New York, 1953. · Zbl 0051.28802
[2] Frank, P., andMises, R. V.,Die Differential- und Integralgleichungen der Mechanik und Physik, Mary S. Rosenberg, New York, 1943. · Zbl 0061.16603
[3] Bergman, S., andSchiffer, M.,Kernel Functions and Elliptic Differential Equations in Mathematical Physics, Academic Press, New York, 1953. · Zbl 0053.39003
[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. · Zbl 0081.14402
[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.
[6] Kagiwada, H. H., andKalaba, R. E.,Initial-Value Methods for the Basic Boundary-Value Problem and Integral Equation of Radiative Transfer, Journal of Computational Physics, Vol. 1, No. 3, 1967. · Zbl 0149.37001
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