A new type of variational theory sufficiency theorem
Russell D. Rupp · Pacific Journal of Mathematics · 1972
This paper contains a sufficiency theorem appropriate to applications of Hestenes' method of multipliers.It is a generalization of the lemma of Ήahn, 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.