Departamento de Matemática Aplicada
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A new approach to linear interval differential equations as a first step toward solving fuzzy differential
(Fuzzy Sets and Systems, 2018) [Artigo]This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that ... 
Preface
(Mathematical Modeling and Computational Intelligence in Engineering Applications, 2016) [Editorial] 
Mathematical modeling and computational intelligence in engineering applications
(Mathematical Modeling and Computational Intelligence in Engineering Applications, 2016) [Livro]This book brings together a rich selection of studies in mathematical modeling and computational intelligence, with application in several fields of engineering, like automation, biomedical, chemical, civil, electrical, ... 
The integrated lot sizing and cutting stock problem with saw cycle constraints applied to furniture production
(Computers and Operations Research, 2017) [Artigo]The integrated lot sizing and cutting stock problem is studied in the context of furniture production. The goal is to capture the interdependencies between the determination of the lot size and of the cutting process in ... 
On some extension of optimal control theory
(European Journal of Control, 2014) [Artigo]Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in ... 
Christoffel formula for kernel polynomials on the unit circle
(Journal of Approximation Theory, 2018) [Artigo]Given a nontrivial positive measure μ on the unit circle T, the associated Christoffel–Darboux kernels are Kn(z,w;μ)=∑k=0 nφk(w;μ)¯φk(z;μ), n≥0, where φk(⋅;μ) are the orthonormal polynomials with respect to the measure μ. ... 
Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences
(Computational and Applied Mathematics, 2018) [Artigo]It was shown recently that associated with a pair of real sequences {{cn}n=1∞,{dn}n=1∞}, with {dn}n=1∞ a positive chain sequence, there exists a unique nontrivial probability measure μ on the unit circle. The Verblunsky ... 
A note on the sufficiency of the maximum principle for infinite horizon optimal control problems
(Optimal Control Applications and Methods, 2018) [Artigo]This work is devoted to introduce a new sufficient optimality condition for infinite horizon optimal control problems. It is shown that normal extremal processes are optimal under this new condition, termed as maximumpr ... 
Classification and literature review of integrated lotsizing and cutting stock problems
(European Journal of Operational Research, 2018) [Resenha]The aim of this paper is to classify the literature related to the integration between the lotsizing and cutting stock problem. A deterministic mathematical model, that considers multiple dimensions of integration and ... 
Extreme zeros in a sequence of paraorthogonal polynomials and bounds for the support of the measure
(Mathematics of Computation, 2018) [Artigo]Given a nontrivial Borel measure μ on the unit circle T{doublestruck}, the corresponding reproducing (or ChristoffelDarboux) kernels with one of the variables fixed at z = 1 constitute a family of socalled paraorthogonal ... 
Bivariate orthogonal polynomials, 2D Toda lattices and Laxtype pairs
(Applied Mathematics and Computation, 2017) [Artigo]We explore the connection between an infinite system of particles in R2 described by a bidimensional version of the Toda equations with the theory of orthogonal polynomials in two variables. We define a 2D Toda lattice ... 
Sobolev Orthogonal Polynomials on the Unit Circle and Coherent Pairs of Measures of the Second Kind
(Results in Mathematics, 2017) [Artigo]We refer to a pair of non trivial probability measures (μ0, μ1) supported on the unit circle as a coherent pair of measures of the second kind on the unit circle if the corresponding sequences of monic orthogonal polynomials ... 
Orthogonal polynomials associated with complementary chain sequences
(Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2016) [Artigo]Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ... 
Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle
(Journal of Mathematical Analysis and Applications, 2017) [Artigo]It is known that given a pair of real sequences {{cn}n=1 ∞,{dn}n=1 ∞}, with {dn}n=1 ∞ a positive chain sequence, we can associate a unique nontrivial probability measure μ on the unit circle. Precisely, the measure is such ... 
Comparison of mip models for the integrated lotsizing and onedimensional cutting stock problem
(Pesquisa Operacional, 2016) [Artigo]Production processes comprising both the lotsizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal ... 
Paraorthogonal polynomials on the unit circle satisfying three term recurrence formulas
(Applied Numerical Mathematics, 2016) [Artigo]When a nontrivial measure μ on the unit circle satisfies the symmetry dμ(ei(2πθ))=dμ(eiθ) then the associated orthogonal polynomials on the unit circle, say Φn, are all real. In this case, in 1986, Delsarte and Genin ... 
Radii of starlikeness of some special functions
(Proceedings of the American Mathematical Society, 2016) [Artigo]Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic ... 
A class of orthogonal functions given by a three term recurrence formula
(Mathematics of Computation, 2016) [Artigo]We present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This class of functions, which can be considered as an extension to the class of ... 
Radii of starlikeness and convexity of some qBessel functions
(Journal of Mathematical Analysis and Applications, 2016) [Artigo]Geometric properties of the Jackson and HahnExton qBessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of ... 
Mathematical models and a heuristic method for the multiperiod onedimensional cutting stock problem
(Annals of Operations Research, 2016) [Artigo]The multiperiod cutting stock problem arises in the production planning and programming of many industries that have the cutting process as an important stage. Ordered items are required in different periods of a finite ...