Book:I.M. Gelfand/Calculus of Variations

Subject Matter

 * Calculus of Variations

Contents

 * Authors' Preface ( and )
 * Translator's Preface


 * 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



Source work progress
* : $\S 8.41 $: The Sturm-Liouville Problem


 * To be revisited