A new type of variational theory sufficiency theorem

Russell Daniel Rupp, Jr.

Vol. 40 (1972), No. 2, 415–444

DOI: 10.2140/pjm.1972.40.415

Abstract

This paper contains a sufficiency theorem appropriate to applications of Hestenes’ method of multipliers. It is a generalization of the lemma of Hahn, which has been used by previous authors to prove variable end point sufficiency theorems. The classical and control formulations of the problems of Mayer, Lagrange, and Bolza in both parametric and nonparametric form are included. The method of proof is indirect.

Mathematical Subject Classification

Primary: 49B05

Milestones

Received: 4 December 1970

Published: 1 February 1972