Results 11 to 20 of about 11,641 (184)
On Infinitesimal L_ω-smooth Functions.
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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Stability analysis and nonstandard Grünwald-Letnikov scheme for a fractional order predator-prey model with ratio-dependent functional response [PDF]
In this paper we discuss a fractional order predator-prey model with ratio-dependent functional response. The dynamical properties of this model is analyzed. Here we determine all equilibrium points of this model including their existence conditions and their stability properties.
Agus Suryanto, Isnani Darti
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Theory of hypernumbers and extrafunctions: Functional spaces and differentiation
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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The method of averaging and functional differential equations with delay
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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A dynamically consistent nonstandard finite difference scheme for a predator–prey model
The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-overlapping generations, such that a new ...
Muhammad Sajjad Shabbir +4 more
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On differential operators an differential equations on torus
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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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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Innovative Model of Socio-Professional Development of a Student’s Personality
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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Peptides encoded by short ORFs control development and define a new eukaryotic gene family.
Despite recent advances in developmental biology, and the sequencing and annotation of genomes, key questions regarding the organisation of cells into embryos remain.
Máximo Ibo Galindo +4 more
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SUBORNATION IN STRUGGLE AGAINST CORRUPTION: DIALECTIC CONTRADICTION AND WAYS OUT OF IT
Objective: to consider the issue of efficiency of anti-corruption policy and criminal law in corruption counteraction, primarily, bribery. Methods: systemic method, general scientific methods (structural-functional analysis, comparison, logical method ...
S. F. Milyukov, A. V. Nikulenko
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