Results 21 to 30 of about 1,050,756 (202)
Axiomatics for the external numbers of nonstandard analysis [PDF]
, 2017 Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is the algebraic sum of a nonstandard real number and a neutrix.
Berg, Imme van den, Dinis, Bruno
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On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
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Tempered functional time series
Journal of Time Series Analysis, 2022 We propose a broad class of models for time series of curves (functions) that can be used to quantify near long‐range dependence or near unit root behavior.
Farzad Sabzikar, P. Kokoszka
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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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Noncanonical quantization of gravity. II. Constraints and the physical Hilbert space [PDF]
, 2001 The program of quantizing the gravitational field with the help of affine field variables is continued. For completeness, a review of the selection criteria that singles out the affine fields, the alternative treatment of constraints, and the choice of ...
John R. Klauder +8 more
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The method of averaging and functional differential equations with delay
International Journal of Mathematics and Mathematical Sciences, 2001 We present a natural extension of the method of averaging to fast oscillating functional differential equations with delay. Unlike the usual approach where the analysis is kept in an infinite-dimensional Banach space, our analysis is achieved in ℝn.
Mustapha Lakrib
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The Dirac delta function in two settings of Reverse Mathematics [PDF]
, 2011 The program of Reverse Mathematics (Simpson 2009) has provided us with the insight that most theorems of ordinary mathematics are either equivalent to one of a select few logical principles, or provable in a weak base theory.
Sanders, Sam, Yokoyama, Keita
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Innovative Model of Socio-Professional Development of a Student’s Personality
Образование и наука, 2020 Introduction. The expansion of infocommunication and digital technologies, the uncertainty of professional future and accelerated changes in the social and professional future of a modern man and the radical transformation of socio-professional ...
E. F. Zeer +2 more
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On differential operators an differential equations on torus
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 In this paper, we consider periodic boundary value problems for a differential equation whose coefficients are trigonometric polynomials. The spaces of generalized functions are constructed, in which the problems considered have solutions, in particular,
Vladimir P Burskii
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AppliedMath, 2022 Discussions are presented by Morita and Sato on the problem of obtaining the particular solution of an inhomogeneous differential equation with polynomial coefficients in terms of the Green’s function. In a paper, the problem is treated in distribution theory, and in another paper, the formulation is given on the basis of nonstandard analysis, where ...
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