Results 281 to 290 of about 4,818,273 (341)
Some of the next articles are maybe not open access.
The principle of maximum entropy
The Mathematical Intelligencer, 1985The authors point out that the ''principle of maximum entropy'' can be considered as a variational principle which has applications in statistical mechanics, in decision theory, in pattern-recognition and in time-series analysis. They explain this principle as follows: From the set of all probability distributions (for instance, the possible ...
Silviu Guiasu, Abe Shenitzer
openaire +3 more sources
International Journal of Control, 1974
Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
David Q. Mayne, G. F. Bryant
openaire +2 more sources
Abstract This paper presents a relatively simple proof of the maximum principle. The main objective has been to obtain a proof, similar to that due to Halkin, but replacing the use of Brouwer's fixed point theorem by an easily proven contraction mapping theorem.
David Q. Mayne, G. F. Bryant
openaire +2 more sources
Maximum Principles for Laplacian and Fractional Laplacian with Critical Integrability
Journal of Geometric Analysis, 2019In this paper, we study the maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero-order term and first-order term.
Congming Li, Yingshu Lü
semanticscholar +1 more source
1972
The values that an analytic function assumes in the different parts of its domain of existence are related to each other : they are connected by analytic continuation and it is impossible to modify the values in one part without inducing a change throughout.
Gabor Szegö, George Pólya
openaire +2 more sources
The values that an analytic function assumes in the different parts of its domain of existence are related to each other : they are connected by analytic continuation and it is impossible to modify the values in one part without inducing a change throughout.
Gabor Szegö, George Pólya
openaire +2 more sources
Mathematische Operationsforschung und Statistik. Series Optimization, 1979
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
R. Gabasov, F. M. Kirillova
openaire +3 more sources
A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g.
R. Gabasov, F. M. Kirillova
openaire +3 more sources
1996
In practical problems certain essential constraints are usually imposed on the control set. For such problems the necessary conditions for optimal control stated in the preceding chapter are, in general, not suitable. Necessary conditions for optimality in such problems are furnished by Pontryagin’s maximum principle, which is the subject of this ...
V. B. Kolmanovskii +2 more
openaire +4 more sources
In practical problems certain essential constraints are usually imposed on the control set. For such problems the necessary conditions for optimal control stated in the preceding chapter are, in general, not suitable. Necessary conditions for optimality in such problems are furnished by Pontryagin’s maximum principle, which is the subject of this ...
V. B. Kolmanovskii +2 more
openaire +4 more sources
Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions
Calculus of Variations and Partial Differential Equations, 2016In this paper, we consider equations involving fully nonlinear non-local operators Fα(u(x))≡Cn,αPV∫RnG(u(x)-u(z))|x-z|n+αdz=f(x,u).\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Wenxiong Chen, Congming Li, Guanfeng Li
semanticscholar +1 more source
Discrete maximum principle [PDF]
Mathematical Notes of the Academy of Sciences of the USSR, 1983 The general method of subdifferentiation developed in the author's previous paper [Sov. Math., Dokl. 23, 367-371 (1981; Zbl 0474.46002)] is applied for the derivation of necessary optimality conditions in a finite-step dynamical problem with nonsmooth data and with a vector- valued criteria.
openaire +2 more sources
The maximum principles for fractional Laplacian equations and their applications
, 2017This paper is devoted to investigate the symmetry and monotonicity properties for positive solutions of fractional Laplacian equations. Especially, we consider the following fractional Laplacian equation with homogeneous Dirichlet condition: (−Δ)α 2u = f(
Tingzhi Cheng +2 more
semanticscholar +1 more source
Discovery of the Maximum Principle
Journal of Dynamical and Control Systems, 1999A short history of the discovery of the maximum principle in optimal control theory, in the mid fifties, by L. S. Pontryagin and his associates is presented. There are pointed out the most important steps and individual contributions by the members of the group towards the final form of that it is known as maximum principle.
openaire +3 more sources