zbMATH — the first resource for mathematics

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

34B27 Green’s functions for ordinary differential equations
Full Text: DOI
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.