LEGENDRE CONDITIONS FOR A VARIATIONAL PROBLEM WITH ONE-SIDED PHASE CONSTRAINTS

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概要

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• This paper is concerned with a variational problem with inequality phase constraints. We present second-order necessary conditions (Legendre condition) for weak minimal solutions of the variational problem. Our optimality conditions give an information about the Hessian of the integrand at not only inactive points but also active points. Since the present constraints do not include x, our conditions differ from the Legendre-Clebsch condition.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Koga Sayuri

  Department Of Mathematics Kyushu University

• Kawasaki Hidefumi

  Department of Mathematics Kyushu University

関連論文

• LEGENDRE CONDITIONS FOR A VARIATIONAL PROBLEM WITH ONE-SIDED PHASE CONSTRAINTS

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