Exterior Differential Systems and the Calculus of Variations

ISBN-13: 9780817631031 / Angielski / Miękka / 1983 / 339 str.

Griffiths; P. a. Griffiths

Opis

Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn;

Spis treści

0. Preliminaries.- I. Euler-Lagrange Equations for Differential Systems with One Independent Variable.- II. First Integrals of the Euler-Lagrange System; Noether’s Theorem and Examples.- III. Euler Equations for Variational Problems in Homogeneous Spaces.- IV. Endpoint Conditions; Jacobi Equations and the 2nd Variation; Conjugate Points; Fields and the Hamilton-Jacobi Equation; the Lagrange Problem.- Appendix: Miscellaneous Remarks and Examples.- a) Problems with Integral Constraints; Examples.- b) Classical Problems Expressed in Moving Frames.