Calculus of Variations

ISBN-10: 0131122924
ISBN-13: 9780131122925
Series: Calculus of Variations
Pages: 232
Language: English
Published: 1963
Publisher: Prentice-Hall
Authors: Izrailʹ Moiseevich Gelʹfand, Sergeĭ Vasilʹevich Fomin

Description

Elements of the theory -- Further generalizations -- The general variation of a functional -- The canonical form of the euler equations and related topics -- The second variation : sufficient conditions for a weak extremum -- Fields : sufficient conditions for a strong extremum -- Variational problems involving multiple integrals -- 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.