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Higher-order pointwise optimality conditions
Journal of Mathematical Sciences, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Higher-Order Conditions for Conical Controllability
SIAM Journal on Control and Optimization, 1988Let 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, 1978We 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, 2018Theorems 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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Conditional Beliefs and Higher-Order Preferences [PDF]
, 2013 In this paper, we establish the Bayesian foundations of type structures in which beliefs are lexicographic probability systems (LPS’s)—such as those used in Brandenburger et al. (2008)—rather than standard probability measures as in Mertens and Zamir (1985). This is a setting which the distinction between preferences hierarchies (Epstein and Wang, 1996)
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Optimality conditions of higher order for abnormal minimization problems
Siberian Mathematical Journal, 1992See the review in Zbl 0769.49020.
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Higher Order Conditioning of the Eyeblink Reflex
2019Classical conditioning of the eyeblink response is a well-established model of cerebellar-dependent associative motor learning. In this paradigm an initially neutral conditioned stimulus (CS - e.g. an auditory tone or light) that elicits no response is paired with an aversive unconditioned stimulus (US -e.g.
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