TY - BOOK AU - Anderson,Ian AU - Thompson,Gerard TI - The inverse problem of the calculus of variations for ordinary differential equations T2 - Memoirs of the American Mathematical Society, SN - 9781470408992 (online) AV - QA3QA315 .A57 no. 473 U1 - 515/.64 20 PY - 1992/// CY - Providence, R.I. PB - American Mathematical Society KW - Calculus of variations KW - Inverse problems (Differential equations) KW - Perturbation (Mathematics) N1 - Includes bibliographical references (p. 108-110); 1. Introduction; 2. The variational bicomplex for ordinary differential equations; 3. First integrals and the inverse problem for second order ordinary differential equations; 4. The inverse problem for fourth order ordinary differential equations; 5. Exterior differential systems and the inverse problem for second order ordinary differential equations; 6. Examples; 7. The inverse problem for two dimensional sprays; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0473 UR - http://dx.doi.org/10.1090/memo/0473 ER -