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

DOI10.1007/BF00932553zbMath0148.33703OpenAlexW2026262115MaRDI QIDQ2524903

Robert E. Kalaba, Harriet H. Kagiwada

Publication date: 1967

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00932553

zbMATH Keywords

ordinary differential equations

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27)

Related Items (9)

Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût ⋮ Brève communication. Utilisation en analyse numérique de la formule de variation d'Hadamard ⋮ A Cauchy system for the Green's function and the solution of a two-point boundary value problem ⋮ Differential systems for eigenvalues of Fredholm integral equations ⋮ Method of particular solutions for linear, two-point boundary-value problems ⋮ Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems ⋮ An integral equation and a representation for a Green's function ⋮ Invariant imbedding and the numerical determination of Green's functions ⋮ Some relationships between Green's functions and invariant imbedding

Cites Work

• Functional equations in the theory of dynamic programming. VI: A direct convergence proof
• Initial-value methods for the basic boundary-value problem and integral equation of radiative transfer
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