Results 31 to 40 of about 7,132,105 (326)
Pontryagin Maximum Principle and Stokes Theorem [PDF]
, 2019 We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions ...
Cardin, Franco, Spiro, Andrea
core +2 more sources
Belief Reliability Distribution Based on Maximum Entropy Principle
IEEE Access, 2018 Belief reliability is a new reliability metric based on the uncertainty theory, which aims to measure system performance incorporating the influences from design margin, aleatory uncertainty, and epistemic uncertainty.
Tianpei Zu +3 more
doaj +1 more source
On the strong maximum principle for nonlocal operators [PDF]
Mathematische Zeitschrift, 2017 In this paper we derive a strong maximum principle for weak supersolutions of nonlocal equations of the form $$\begin{aligned} Iu=c(x) u \qquad \text { in }\,\Omega , \end{aligned}$$Iu=c(x)uinΩ,where $$\Omega \subset \mathbb {R}^N$$Ω⊂RN is a domain, $$c ...
Sven Jarohs, T. Weth
semanticscholar +1 more source
Approximate Carleman theorems and a Denjoy-Carleman maximum principle [PDF]
, 2004 We give an extension of the Denjoy-Carleman theorem, which leads to a generalization of Carleman's theorem on the unique determination of probability measures by their moments. We also give complex versions of Carleman's theorem extending Theorem 4.1 of [
Chalender, I. +3 more
core +1 more source
Maximum entropy production principle in forest dynamics modelling [PDF]
BIO Web of ConferencesForest ecosystems are vivid representatives of open non-equilibrium systems. The existence of extreme principles in “ecological thermodynamics” is a subject of discussion in the works of many physicists, ecologists and researchers dealing with non ...
Lisitsyn Viktor +3 more
doaj +1 more source
Maximum Principle for General Controlled Systems Driven by Fractional Brownian Motions [PDF]
, 2012 We obtain a maximum principle for stochastic control problem of general controlled stochastic differential systems driven by fractional Brownian motions (of Hurst parameter $H>1/2$). This maximum principle specifies a system of equations that the optimal
Han, Yuecai, Hu, Yaozhong, Song, Jian
core +2 more sources
A maximum principle at infinity with applications to geometric vector fields
Journal of Mathematical Analysis and Applications, 2019 We derive a new form of maximum principle, applicable to a vector field with nonnegative divergence in a connected, oriented, complete noncompact Riemannian manifold. We then use it to obtain some applications to Killing vector fields. More precisely, we
L. Alías +2 more
semanticscholar +1 more source
On the maximum principle for a time-fractional diffusion equation [PDF]
, 2017 In this paper, we discuss the maximum principle for a time-fractional diffusion equation ∂tαu(x,t)=∑i,j=1n∂i(aij(x)∂ju(x,t))+c(x)u(x,t)+F(x,t),t>0,x∈Ω⊂Rn,$$\begin{array}{} \displaystyle \partial_t^{\alpha} u(x,t) = \sum\limits_{i,j=1}^n \partial_i(a_{ij}(
Yuri Luchko, Masahiro Yamamoto
semanticscholar +1 more source
The Maximum Entropy principle and the nature of fractals [PDF]
, 1998 We apply the Principle of Maximum Entropy to the study of a general class of deterministic fractal sets. The scaling laws peculiar to these objects are accounted for by means of a constraint concerning the average content of information in those patterns.
J Wagensberg +4 more
core +3 more sources
Some Inequalities for the Omori-Yau Maximum Principle
Abstract and Applied Analysis, 2015 We generalize A. Borbély’s condition for the conclusion of the Omori-Yau maximum principle for the Laplace operator on a complete Riemannian manifold to a second-order linear semielliptic operator L with bounded coefficients and no zeroth order term ...
Kyusik Hong
doaj +1 more source