Results 271 to 280 of about 5,003,645 (342)

AN EXTENDED MAXIMUM PRINCIPLE

Nonlinear Analysis: Theory, Methods & Applications, 1997
In optimal control problems, where the operator describing the dynamics of the process and the terminal condition is not regular, that is, its first Fréchet derivative is not surjective at the optimal process, the fundamental first-order necessary conditions offered by the Pontryagin maximum principle do not provide useful and sufficient information ...
Ledzewicz, Urszula, Schättler, Heinz
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2 Maximum principles

Semilinear Elliptic Equations, 2020
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Maximum principles in analytical economics [PDF]

Synthese, 1971
The very name of my subject, economics, suggests economizing or maxi mizing. But Political Economy has gone a long way beyond home econo mics. Indeed, it is only in the last third of the century, within my own life time as a scholar, that economic theory has had many pretensions to being itself useful to the practical businessman or bureaucrat.
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The maximum principle

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.
G. F. BRYANT, D. Q. MAYNE
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Maximum principles for a fully nonlinear fractional order equation and symmetry of solutions

Calculus of Variations and Partial Differential Equations, 2016
In 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
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A Stochastic Maximum Principle

SIAM Journal on Control and Optimization, 1976
The major theorem of this paper is very closely parallel to the classical Pontryagin maximum principle. The classical case, very roughly stated, says that if $u(t)$ is a control function which has an associated trajectory $x(t)$, then there is a function $H(v,x,t)$ such that $u(t)$ is optimal only if for each t and for all v in the control set, \[H(u(t)
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Aleksandrov maximum principle and bony maximum principle for parabolic equations

Acta Mathematicae Applicatae Sinica, 1985
The author simplifies the proof of the Aleksandrov maximum principle for parabolic equations given by Krylov and obtains finer results. He further proves the Bony maximum principle for parabolic equations by using the above results.
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Stochastic maximum principle

IFAC Proceedings Volumes, 2011
Abstract The Pontrjagin maximum principle solves the problem of optimal control of a continuous deterministic system. The discrete maximum principle solves the problem of optimal control of a discrete-time deterministic system. The maximum principle changes the problem of optimal control to a two point boundary value problem which can be completely ...
Jan Štecha, Jan Rathouský
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Boundary weak Harnack estimates and quantitative strong maximum principles for uniformly elliptic PDE

, 2016
We give full boundary extensions to two fundamental estimates in the theory of elliptic PDE, the weak Harnack inequality and the quantitative strong maximum principle, for uniformly elliptic equations in non-divergence form.
B. Sirakov
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Maximum Modulus Principle

2011
In this lecture, we shall prove that a function analytic in a bounded domain and continuous up to and including its boundary attains its maximum modulus on the boundary. This result has direct applications to harmonic functions.
Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas   +2 more
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