ISSN: 2310-2799
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546,196 artículos
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Año:
2020
ISSN:
2411-1783
López Cruz, Roxana
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work, we analyze the stability of two epidemiological models of obesity. The first model only admits social influence, that is, the environment in which individuals live, the second model adds control to reduce obesity and excess weight. The obesity-free equilibrium point is local and asymptotically stable if R0 < 1 where R0 is a basic replacement rate. For the model with control, its stability is shown and it is appreciated numerically that it accelerates the decrease of obese individuals.
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Año:
2020
ISSN:
2411-1783
Xuan Hung, Le
National University of Trujillo - Academic Department of Mathematics
Resumen
Given a list L(v) for each vertex v, we say that the graph G is L-colorable if there is a proper vertex coloring of G where each vertex v takes its color from L(v). The graph is uniquely k-list colorable if there is a list assignment L such that jL(v)j = k for every vertex v and the graph has exactly one L-coloring with these lists. In this paper, we characterize uniquely list colorability of the graph G = Kn2 + Om. We shall prove that if n = 2 then G is uniquely 3-list colorable if and only if m >= 9, if n = 3 and m >=1 then G is uniquely 3-list colorable, if n >=4 then G is uniquely k-list colorable with k =[m/2]+1, and if m>=n-1, entonce G es UnLC.
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Año:
2020
ISSN:
2411-1783
Granados, Carlos
National University of Trujillo - Academic Department of Mathematics
Resumen
In this article, we use the notions of b-open and b-I-open sets to introduce the idea of b-I-convergence which we will denoted by b-I-convergence, we also show some of its properties. Besides, some basic properties of b-I-Fréchet-Urysohn space is shown. Moreover, notions related to b-I-sequential and b-I-sequentially are proved. Furthermore, we show some relations of b-I-irresolute functions between preserving b-I-convergence functions and b-I-covering functions.
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Año:
2020
ISSN:
2411-1783
Merino Toapanta, Andres; Heredia Freire, Sebastián
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work, we show a generalization to the ternary Cantor set based on the beta-expantion of a number, futhermore, we present that, under appropriate hypotheses, this extension also corresponds to a constructive way of the definition of the ternary Cantor set . Finally, we prove that these sets that are, in effect, Cantor sets.
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Año:
2020
ISSN:
2411-1783
Vera Saravia, Edgar Diógenes
National University of Trujillo - Academic Department of Mathematics
Resumen
Starting from Pauli and Dirac matrices of 1928 we present a friendly and unified version of the classical groups of mathematical physics as subgroups of sub algebras of real geometric algebras, created and presented for Clifford in 1879, the prior concept of Clifford algebras.
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Año:
2020
ISSN:
2411-1783
Santiago Ayala, Yolanda; Rojas Romero, Santiago
National University of Trujillo - Academic Department of Mathematics
Resumen
In this article, we first prove that the initial value problem associated to the homogeneous wave equation in periodic Sobolev spaces has a global solution and the solution has continuous dependence with respect to the initial data, in [0; T], T > 0. We do this in an intuitive way using Fourier theory and in a fine version introducing families of strongly continuous operators, inspired by the works of Iorio [4] and Santiago and Rojas [7].Also, we prove that the energy associated to the wave equation is conservative in intervals [0; T], T > 0.As a final result, we prove that the initial value problem associated to the non homogeneous wave equation has a local solution and the solution has continuous dependence with respect to the initial data and the non homogeneous part of the problem.
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Año:
2020
ISSN:
2411-1783
Papuico Bernardo, Victor; Santiago Ayala, Yolanda
National University of Trujillo - Academic Department of Mathematics
Resumen
We will begin our study, focusing on the theory of periodic Sobolev spaces, for this we cite [1]. Then, we will prove that the non-homogeneous Boussinesq equation has a local solution and that the solution also continually depends on the initial data and non-homogeneity, we do this intuitively using Fourier theory and in an elegant version introducing families of strongly continuous operators, inspired by the work of Iorio [1], Santiago and Rojas [4], [3] and [2].
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Año:
2020
ISSN:
2411-1783
Navarro R., Frank
National University of Trujillo - Academic Department of Mathematics
Resumen
The quasi-equilibrium problem (QEP) is a generalization of the classic equilibrium problem (EP) where the constraint set does depend on the reference point. It generalizes important problems such as quasivariational inequalities (QVI) and generalized Nash equilibrium problems (GNEP). In recent years the study of QEP has increased, both from the point of view of existence and uniqueness of solutions and of algorithms to find solutions. In both types of research, assumptions and theoretical results are given, so it is necessary to be able to show examples that can show the validity or falsity of those results . This article aims to help in this task, providing two results to find the whole solution set of QEPs in a variable.
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Año:
2020
ISSN:
2411-1783
Morán Carril, Augusto; Vergara-Moreno, Edmundo
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work the fuzzy formulation of the diet problem in the planning of the nutrition of the farms of laying hens is done, and then it is solved applying the methods proposed by Lai and Hwang and by Zimmermann.Finally, we solve a nutritional planning problem with twelve products of which 4 are diffuse and with 10 nutritional substances.
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Año:
2020
ISSN:
2411-1783
Calahorrano, Marco; Cevallos, Israel
National University of Trujillo - Academic Department of Mathematics
Resumen
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized using variational tecniques and especially the Ambrosetti-Rabinowitz’s “Mountain Pass Lemma”.
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