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ISSN 2411-1783 · Universidad Nacional de Trujillo · 170 artikel di indeks
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Artikel Jurnal
Some Variants of Wayment's Mean Value Theorem for Integrals
This note deals with some variants of Wayment’s Mean Value Theorem for integrals. Our approach is rather elementary and does not use advanced techniques from analysis. The simple auxiliary functions were used to prove the results.
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Artikel Jurnal
Analysis and numerical simulation of a parabolic equation with non-local terms
In this work, we investigate the existence and uniqueness of global strong solutions, as well as the exponential decay of these solutions in bounded domains, for an initial-boundary value problem associated with parabolic equations involving nonlocal terms. The theoretical results are complemented…
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Artikel Jurnal
Well-posedness for a Third-Order PDE with Dissipation
In this work, we prove that the Cauchy problem associated with a third-order equation with dissipation in periodic Sobolev spaces admits a unique solution. We also show that the solution depends continuously on the initial data. Our approach combines both an intuitive method, based on Fourier…
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Surfaces with mean of the hyperbolic curvature radii of double harmonic type
In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given…
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Traveling waves in a delayed reaction-diffusion SVIR epidemic model with generalized incidence function and imperfect vaccination
This paper is concerned with traveling wave solutions for a delayed reaction-diffusion SVIR epidemic model that includes both general incidence function and imperfect vaccination. In the model, the spread of infection in space is explicitly taken into account by using a heterogeneous environment…
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Integration of Monomials over the Unit Sphere and Unit Ball in Rn
We compute the integral of monomials of the form x2β over the unit sphere and the unit ball in Rn where β = (β1, . . . , βn) is a multi–index with real components βk > −1/2, 1 ≤ k ≤ n, and discuss their asymptotic behavior as some, or all, βk → ∞. This allows for the evaluation of integrals…
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Artikel Jurnal
Euclidean space perturbed by a constant vector field and its relation to a Zermelo navigation problem
In this work, the authors perturb the Euclidean plane with a constant vector field of the form W = (0, ε) with 0 ≤ ε < 1, which can be interpreted as wind currents affecting the movement of ships in a constant unidirectional way. It is observed that the resulting perturbed norm, called the…
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Numerical Modeling and Simulations for an Ocean Circulation Model of the Southern Pacific
In this work, we consider the primitive equations of an ocean circulation model for the southern pacific, which consists of the time-dependent Navier-Stokes equations in the β-plane coupled with the temperature transport equation. Specifically, the full three-dimensional equations are adopted and…
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Numerical implementation of a stochastic differential equation of motion
Using the ordinary differential equation of motion it is possible to determine the position in time of a mass that moves because it is disturbed by some deterministic action. For this work it was proposed to model a mass supporting a random disturbance. To do this, it was required to model Brownian…
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Harmonic analysis and partial differential equations. Brief walk through these domains
In this walk we are going to walk through some domains of harmonic analysis and partial differential equations (PDE). The objective of this article is to motivate students and colleagues to study these beautiful areas of analysis and therefore we emphasize the ideas, some mathematical results and…
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Artikel Jurnal
Improved global convergence results for augmented Lagrangian method with exponential penalty function
The purpose of the present paper is to improve the global convergence results established so far concerning the Augmented Lagrangian Algorithm with exponential penalty function for solving nonlinear programming problems with equality and inequality constraints. We prove global convergence for KKT…
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Spectral Differentiation and Mimetic Methods for Solving the Scalar Burger’s Equation
In the present work, the spectral differentiation method was studied to solve the scalar Burger’s partial differential equation. This equation has been of considerable physical interest as it can be regarded as a simplified version of the Navier-Stokes equations. Through this study, the spectral…
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Refuge used by prey as a function of predator numbers in a Leslie-type model
This paper deals with a continuous-time predator-prey model of Leslie-Gower type considering the use of a physical refuge by a fraction of the prey population. The fraction of hidden prey is assumed to be dependent on the presence of predators in the environment. The conditions for the existence of…
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The SIRD epidemiological model using Caputo fractional derivatives applied to study the spread of the COVID-19 in the Peruvian region of Tacna
Mathematical models are widely used to study the spreading dynamics of infectious diseases. In particular, the “Susceptibles-Infecteds-Recovereds-Deceases”(SIRD) model provides a framework that can be adapted to describe the core spreading dynamics of several human and wildlife infectious diseases…
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Normal forms of vector fields induced by holomorphic actions of the group SL(2,C) on a complex manifold
In this work, we study actions of the Lie group SL(2,C) on a complex manifold of dimension three or higher. It is demonstrated that these types of actions induce three complete holomorphic vector fields, one of which is periodic, and that there exists a particular relationship between them, given…
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Existence and construction of the Peano selection for a multivalued function
In the present article, the necessary conditions are presented for a multivalued function in order to define a Peano selection. To achieve this, a bibliographic review was carried out on general results of compact topological spaces, open and closed sets and continuity. To then address the same…
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Brief introduction to distributions and to Hörmander spaces Bp,k
Partial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. The objective of this article is to contribute to a knowledge in this direction especially to…
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A seasonal commensalism model with a weak Allee effect to describe climate-mediated shifts
Climate change is affecting the life cycle of tight interacting species. Commonly, the seasonal population dynamics of species is analyzed through models with periodic rates; however, assuming periodicity in seasonal phenomena which depend on environmental drivers is very restrictive. In this work…
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A comprehensive review of the characterization of real numbers
The real number system is a fundamental tool for rigorous demonstrations of the differential and integral calculus results. Even after a century of formalization on solid foundations, discussions about the construction of this field are generally omitted in advanced courses such as Real Analysis…
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The Interconnection Between Calculus of Variations, Partial Differential Equations and Differential Geometry
Calculus of variations is a fundamental mathematical discipline focused on optimizing functionals, which map sets of functions to real numbers. This field is essential for numerous applications, including the formulation and solution of partial differential equations (PDEs) and the study of…