Second-order necessary conditions for domain optimization problems in elastic structures, part 1: Surface traction given as a field

Journal of Optimization Theory and Applications ◽

10.1007/bf00940523 ◽

1992 ◽

Vol 72 (2) ◽

pp. 355-382 ◽

Author(s):

T. Masanao ◽

N. Fujii

Keyword(s):

Necessary Conditions ◽

Optimization Problems ◽

Second Order ◽

Surface Traction ◽

Elastic Structures ◽

Domain Optimization ◽

Second Order Necessary Conditions

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Second-order necessary conditions for domain optimization problems in elastic structures, part 2: Surface traction dependent on the shape

Journal of Optimization Theory and Applications ◽

10.1007/bf00940524 ◽

1992 ◽

Vol 72 (2) ◽

pp. 383-401 ◽

Author(s):

T. Masanao ◽

N. Fujii

Keyword(s):

Necessary Conditions ◽

Optimization Problems ◽

Second Order ◽

Surface Traction ◽

Elastic Structures ◽

Domain Optimization ◽

Second Order Necessary Conditions

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Second-order necessary conditions in a domain optimization problem

Journal of Optimization Theory and Applications ◽

10.1007/bf01102343 ◽

1990 ◽

Vol 65 (2) ◽

pp. 223-244 ◽

Author(s):

N. Fujii

Keyword(s):

Optimization Problem ◽

Necessary Conditions ◽

Second Order ◽

Domain Optimization ◽

Second Order Necessary Conditions

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Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case

SIAM Journal on Optimization ◽

10.1137/050641387 ◽

2007 ◽

Vol 18 (2) ◽

pp. 589-612 ◽

Author(s):

Helmut Gfrerer

Keyword(s):

Nonlinear Optimization ◽

Necessary Conditions ◽

Optimization Problems ◽

Second Order ◽

Degenerate Case ◽

Second Order Necessary Conditions

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Second-Order Necessary Conditions for Nonlinear Optimization Problems in Banach Spaces and Their Application to an Optimal Control Problem

Mathematics of Operations Research ◽

10.1287/moor.15.3.467 ◽

1990 ◽

Vol 15 (3) ◽

pp. 467-482 ◽

Author(s):

Yukihiro Maruyama

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Nonlinear Optimization ◽

Banach Spaces ◽

Necessary Conditions ◽

Optimization Problems ◽

Second Order ◽

Second Order Necessary Conditions

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Second order necessary conditions for nonsmooth optimum problems with constraints

World Congress of Nonlinear Analysts '92 ◽

10.1515/9783110883237.2337 ◽

1996 ◽

pp. 2337-2346

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Second Order Necessary Conditions

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First- and second-order necessary conditions with respect to components for discrete optimal control problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112342 ◽

2020 ◽

Vol 364 ◽

pp. 112342

Author(s):

Misir J. Mardanov ◽

Telman K. Melikov ◽

Samin T. Malik ◽

Kamran Malikov

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Discrete Optimal Control ◽

Second Order Necessary Conditions

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Second-order necessary conditions for differential–difference inclusion problems

Nonlinear Analysis ◽

10.1016/j.na.2005.04.018 ◽

2005 ◽

Vol 62 (6) ◽

pp. 963-974 ◽

Author(s):

Aurelian Cernea

Keyword(s):

Necessary Conditions ◽

Second Order ◽

Inclusion Problems ◽

Second Order Necessary Conditions ◽

Difference Inclusion

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Second-Order Necessary Conditions for a Strong Local Minimum in a Control Problem with General Control Constraints

Applied Mathematics & Optimization ◽

10.1007/s00245-017-9461-x ◽

2017 ◽

Vol 80 (1) ◽

pp. 135-164 ◽

Author(s):

Hélène Frankowska ◽

Nikolai P. Osmolovskii

Keyword(s):

Control Problem ◽

Local Minimum ◽

Necessary Conditions ◽

Second Order ◽

Control Constraints ◽

General Control ◽

Second Order Necessary Conditions ◽

Strong Local Minimum

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Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems

SIAM Journal on Control and Optimization ◽

10.1137/130923452 ◽

2014 ◽

Vol 52 (6) ◽

pp. 3887-3916 ◽

Author(s):

J. Frédéric Bonnans ◽

Xavier Dupuis ◽

Laurent Pfeiffer

Keyword(s):

Optimal Control ◽

Optimal Control Problems ◽

Necessary Conditions ◽

Second Order ◽

Control Problems ◽

Second Order Necessary Conditions ◽

Pontryagin Form

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Shape optimization analysis: First- and second-order necessary conditions

Optimal Control Applications and Methods ◽

10.1002/oca.4660110206 ◽

1990 ◽

Vol 11 (2) ◽

pp. 173-190 ◽

Author(s):

H. Cabuk ◽

V. Modi

Keyword(s):

Shape Optimization ◽

Necessary Conditions ◽

Second Order ◽

Optimization Analysis ◽

Second Order Necessary Conditions

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