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Higher-order optimality conditions for strict local minima

Annals of Operations Research, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bienvenido Jiménez, Vicente Novo
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Induction machine condition monitoring with higher order spectra

IEEE Transactions on Industrial Electronics, 2000
This paper describes a novel method of detecting and unambiguously diagnosing the type and magnitude of three induction machine fault conditions from the single sensor measurement of the radial electromagnetic machine vibration. The detection mechanism is based on the hypothesis that the induction machine can be considered as a simple system, and that ...
Neil Arthur, Jim Penman
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Evaluative conditioning depends on higher order encoding processes

Cognition & Emotion, 2011
Evaluative conditioning (EC) is commonly conceived as stimulus-driven associative learning. Here, we show that internally generated encoding activities mediate EC effects: Neutral conditioned stimuli (CS) faces were paired with positive and negative unconditioned stimuli (US) faces. Depending on the encoding task (Is CS a friend vs.
Klaus, Fiedler, Christian, Unkelbach
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Higher-order pointwise optimality conditions

Journal of Mathematical Sciences, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Higher order Adams’ inequality with the exact growth condition

Communications in Contemporary Mathematics, 2018
Adams’ inequality is the complete generalization of the Trudinger–Moser inequality to the case of Sobolev spaces involving higher order derivatives. The failure of the original form of the sharp inequality when the problem is considered on the whole space [Formula: see text] served as a motivation to investigate in the direction of a refined sharp ...
Masmoudi, Nader, Sani, Federica
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Higher-order conditions for strict efficiency

Optimization, 2011
Luu and Kien (On higher order conditions for strict efficiency, Soochow J. Math. 33 (2007), pp. 17–31), proposed higher-order conditions for strict efficiency of vector optimization problems based on the derivatives introduced in Ginchev (Higher order optimality conditions in nonsmooth optimization, Optimization 51 (2002), pp. 47–72). These derivatives
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Higher-Order Conditions for Conical Controllability

SIAM Journal on Control and Optimization, 1988
Let Q be a convex subset of a linear space, $\mathcal{U} \subset Q$, $\mathcal{Z}$ a topological vector space, $C \subset \mathcal{Z}$ convex with a nonempty interior, $\bar q \in Q$, $\varphi = (\varphi _1 ,\varphi _2 ):Q \to \mathbb{R}^m \times \mathcal{Z}$, and $\varphi _2 (\bar q) \in C$. Also, let $\mathcal{A}: = \{ u \in \mathcal{U}|\varphi _2 (u)
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Higher-order necessary conditions in abstract mathematical programming

Journal of Optimization Theory and Applications, 1978
We prove necessary extremum conditions for general nonlinear optimization problems in ordered topological vector spaces. For that reason, we define variational derivatives of higher order and introduce proper variations. Especially assuming certain weak hypotheses, we establish maximum principles of higher order.
Hoffmann, K. H., Kornstaedt, H. J.
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Conditional differential equations of higher order

Applicationes Mathematicae, 2018
Theorems giving necessary conditions for the existence of a solution of a conditional differential equation of higher order are proved. A model using a conditional differential equation is proposed for diffusion of particles in plasma and it is shown to yield a description of ballistic diffusion.
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Optimality conditions of higher order for abnormal minimization problems

Siberian Mathematical Journal, 1992
See the review in Zbl 0769.49020.
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