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Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions
(Elsevier, 2018-05-15)
Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis. In this paper we study completeness, ...
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
(Oxford University Press, 2018-04)
The main objective of this work is to provide a stability and error analysis of high-order commutator-free quasi-Magnus (CFQM) exponential integrators. These time integration methods for nonautonomous linear evolution ...
Pointwise convergence topology and function spaces in fuzzy analysis
(University of Sistan and Baluchestan, 2018-03)
We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(\mathbb{E}\sp{1},d\sb{\infty})$ endowed with the pointwise convergence topology. Our results generalize the ...
Order of products of elements in finite groups
(WileyLondon Mathematical Society, 2018-10)
If G is a finite group, p is a prime, and x∈G, it is an interesting problem to place x in a convenient small (normal) subgroup of G, assuming some knowledge of the order of the products xy, for certain p‐elements y of G.
A dichotomy property for locally compact groups
(Elsevier, 2018-08)
We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...
Convergence regions for the Chebyshev–Halley family
(Elsevier, 2018-03)
In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ...
Complete invariant fuzzy metrics on groups
(Elsevier, 2018-01-01)
We
study some questions related to complete fuzzy metric topological groups (in the sense of Kramosil and Michael). Invariant
fuzzy metrics are characterized and we prove that if (G, M, ∗) is a fuzzy metric group such ...
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
(American Institute of Mathematical Sciences (AIMS), 2018-01)
We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
Unsupervised classification of children’s bodies using currents
(Springer Verlag, 2018-06)
Object classification according to their shape and size is of key importance in many scientific fields. This work focuses on the case where the size and shape of an object is characterized by a current. A current is a ...
Phase portraits of Abel quadratic differential systems of the second kind
(Taylor & Francis, 2018)
We provide normal forms and the global phase portraits on the Poincaré
disk of some Abel quadratic differential equations of the second kind. Moreover, we also
provide the bifurcation diagrams for these global phase portraits.