Results 61 to 70 of about 29,433 (197)
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
SPθ-TOPOLOGICAL GROUPS IN NONSTANDARD ANALYSIS [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2016 The aim of this paper is to introduce and study a new class of topological groups called SPθ-topological group. By using some nonstandard techniques given by A., Robison and axiomatized by E., Nelson.
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Volatility made observable at last [PDF]
The Cartier-Perrin theorem, which was published in 1995 and is expressed in the language of nonstandard analysis, permits, for the first time perhaps, a clear-cut mathematical definition of the volatility of a financial asset.
Michel Fliess +2 more
core
Stochastic Analysis of Pine Wilt Epidemic Model With Dynamically Consistent Approximation
ComplexityThe present study investigated the dynamics of the nonlinear stochastic pine wilt epidemic model. An extension of the stochastic to deterministic model is presented.
Ali Raza +5 more
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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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On the Plausibility of Nonstandard Proofs in Analysis
Dialectica, 1984 In the paper the authors emphasize one aspect of nonstandard considerations. Namely, that the usage of new nonstandard predicates (e.g., to be infinitely small) makes some standard notions and some proofs of standard theorems clearer and easier. They give examples of the simplification of the formal description of some definitions (the number of ...
Farkas, E. J., Szabo, M. E.
openaire +2 more sources
, 2002 This MQP reviews the history of nonstandard analysis, how it can be used, and its applications in basic analysis. The process of completing many proofs and exercises gave way to a new understanding of how nonstandard analysis can be extended and applied ...
Godbout, Christopher Romeo
core
Nonstandard analysis for the working mathematician
, 2015 Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis.
Loeb, Peter, Wolff, Manfred
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P300: Waves Identification with and without Subtraction of Traces
International Archives of Otorhinolaryngology, 2017 Introduction The P300 test requires well-defined and unique criteria, in addition to training for the examiners, for a uniform analysis of studies and to avoid variations and errors in the interpretation of measurement results.
Ana Carla Leite Romero +5 more
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Weak Theories of Nonstandard Arithmetic and Analysis
, 2018 A general method of interpreting weak higher-type theories of nonstandard arithmetic in their standard counterparts is presented. In particular, this provides natural nonstandard conservative extensions of primitive recursive arithmetic, elementary ...
Jeremy Avigad (3881521)
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