Results 91 to 100 of about 25,343,404 (305)
Generalized solutions of variational problems and applications
Advances in Nonlinear Analysis, 2018 Ultrafunctions are a particular class of generalized functions defined on a hyperreal field ℝ*⊃ℝ{\mathbb{R}^{*}\supset\mathbb{R}} that allow to solve variational problems with no classical solutions.
Benci Vieri +2 more
doaj +1 more source
Hidden Markov graphical models with state‐dependent generalized hyperbolic distributions
Canadian Journal of Statistics, EarlyView.Abstract In this article, we develop a novel hidden Markov graphical model to investigate time‐varying interconnectedness between different financial markets. To identify conditional correlation structures under varying market conditions and accommodate shape features embedded in financial time series, we rely upon the generalized hyperbolic family of ...
Beatrice Foroni +2 more
wiley +1 more source
On the averaging method for differential equations with delay
Electronic Journal of Differential Equations, 2002 In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis.
Mustapha Lakrib
doaj
Theory of hypernumbers and extrafunctions: Functional spaces and differentiation
Discrete Dynamics in Nature and Society, 2002 The theory of hypernumbers and extrafunctions is a novel approach in functional analysis aimed at problems of mathematical and computational physics.
Mark Burgin
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
A guide to neuromodulation in drug‐resistant epilepsy
Epileptic Disorders, EarlyView.Abstract Neuromodulation is approved for the treatment of drug‐resistant epilepsy. It has been increasingly utilized over the past two decades with the approval of deep brain stimulation (DBS) and responsive neurostimulation (RNS) in addition to vagus nerve stimulation (VNS)—particularly in patients who are not deemed to be good resective surgical ...
Prachi Parikh +10 more
wiley +1 more source
Nonstandard analysis: Its creator and place [PDF]
Journal of Applied and Industrial Mathematics, 2013 A part of a talk at the 22nd Summer St. Petersburg Meeting on Mathematical Analysis, June 26, 2013.
openaire +2 more sources
Defining the end point of status epilepticus: A scoping review and framework for standardization
Epilepsia, EarlyView.Abstract Status epilepticus (SE) is a life‐threatening neurological emergency with consensus‐driven definitions for onset but no standardized criteria for its end point. This gap creates uncertainty in research and clinical practice. We conducted a scoping review to evaluate how end points have been defined in SE research and to identify key areas of ...
Fawad A. Khan +6 more
wiley +1 more source
Nonstandard Methods in Measure Theory
Abstract and Applied Analysis, 2014 Ideas and techniques from standard and nonstandard theories of measure spaces and Banach spaces are brought together to give a new approach to the study of the extension of vector measures.
Grigore Ciurea
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Epilepsia, EarlyView.Abstract Infants aged 1–24 months with new onset epilepsy frequently present with structural brain abnormalities, yet no updated evidence‐based magnetic resonance imaging (MRI) guidelines exist for this population. The International League Against Epilepsy (ILAE) Neuroimaging Task Force developed evidence‐based recommendations for structural brain MRI ...
Gavin P. Winston +15 more
wiley +1 more source