Summary: A SECOND-ORDER NECESSARY CONDITION FOR OPTIMALITY IN THE GENERAL
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1977 Math. USSR Sb. 31 493
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MAT. SBORNIK MATH. USSR SBORNIK
TOM 102(144X1977), NO. 4 Vol. 31(1977), No.4
A SECOND-ORDER NECESSARY CONDITION FOR OPTIMALITY
IN THE GENERAL NONLINEAR CASE
A. A. AGRACEV
ABSTRACT. In this paper a second-order optimality condition is obtained for the general
nonlinear problem with arbitrary boundary conditions and an integral-type minimized
functional. Moreover, a second-order sufficient condition for controllability is derived.