Book:I.M. Gelfand/Calculus of Variations

I.M. Gelfand and S.V. Fomin: Calculus of Variations

Published $\text {1963}$, Dover Publications

ISBN 0-486-41448-5 (translated by Richard A. Silverman)

Subject Matter

Calculus of Variations

Contents

Authors' Preface (I.M. Gelfand and S.V. Fomin)

Translator's Preface (Richard A. Silverman)

1 Elements of the Theory

2 Further Generalizations

3 The General Variation of a Functional

4 The Canonical Form of the Euler Equations and Related Topics

5 The Second Variation. Sufficient Conditions for a Weak Extremum

6 Fields. Sufficient Conditions for a Strong Extremum

7 Variational Problems Involving Multiple Integrals

8 Direct Methods in the Calculus of Variations

Appendix I: Propagation of Disturbances and the Canonical Equations

Appendix II: Variational Methods in Problems of Optimal Control

Bibliography

Index

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• 1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations ... (previous): $\S 8.41 $: The Sturm-Liouville Problem

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