Results 81 to 90 of about 29,433 (197)

The generic filter property in nonstandard analysis

, 2001
In this paper two new combinatorial principles in nonstandard analysis are isolated and applications are given.
DI NASSO, MAURO, Mauro Di Nasso
core   +1 more source

Slow and fast systems with Hamiltonian reduced problems

Electronic Journal of Differential Equations, 2010
Slow and fast systems are characterized by having some of the derivatives multiplied by a small parameter $epsilon$. We study systems of reduced problems which are Hamiltonian equations, with or without a slowly varying parameter.
Maamar Benbachir, Karim Yadi, Rachid Bebbouchi   +2 more
doaj  

Sustainable preferences via nondiscounted, hyperreal intergenerational welfare functions

We define an intergenerational social welfare function Sigma from |R^|N (the set of all infinite-horizon utility streams) into *|R (the ordered field of hyperreal numbers).
Pivato, Marcus
core  

Parents' nonstandard work and child wellbeing

, 2012
The rising prevalence of nonstandard work among parents in the era of the 24-hour/7-day economy in developed countries has raised a concern about its possible impacts on children’s health and development.
Jianghong Li, Sarah Johnson
core  

A Daniell integral approach to nonstandard Kurzweil-Henstock integral [PDF]

, 1999
summary:A workable nonstandard definition of the Kurzweil-Henstock integral is given via a Daniell integral approach. This allows us to study the HL class of functions from .
Bianconi, Ricardo, Possani, Cláudio, Prandini, João C.   +2 more
core  

Topological and nonstandard extensions

, 2005
We introduce a notion of topological extension of a given set X. The resulting class of topological spaces includes the Stone-ˇCech compactification βX of the discrete space X, as well as all nonstandard models of X in the sense of nonstandard analysis ...
DI NASSO, MAURO, FORTI, MARCO
core   +1 more source

Optimal control for a variable-order diffusion-wave equation with a reaction term; A numerical study

Partial Differential Equations in Applied Mathematics
In this paper, optimal control for a variable-order diffusion-wave equation with a reaction term is numerically studied, where the variable-order operator is defined in the sense of Caputo proportional constant.
N.H. Sweilam, F. Megahed, S.A. Shatta, D. Baleanu   +3 more
doaj   +1 more source

The Strength of Nonstandard Analysis

, 2007
Proceedings of the 2004 Nonstandard Mathematics Conference in ...
Van den Berg, Imme, Neves, Vitor, Berg, Imme van den   +2 more
core   +1 more source

A connection between Inverse Problems and Nonstandard Analysis

, 2018
Nonstandard analysis was born in the decade of 1960 an attempt to give a formal context to the Leibniz approach to differential calculus, in particular in order to provide a rigorous foundation to the notions of infinitesimal and infinite quantities in ...
Martínez Moraian, Alejandra
core   +1 more source

الزمر التبولوجیة من النمط Pθ فی التحلیل غیر القیاسی

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
Tahir H. Ismail, Ibrahim O. Hamad, Sami A. Hussein   +2 more
doaj   +1 more source