• Schubert Derivations on the Infinite Wedge Power 

  Gatto, Letterio; Salehyan, Parham (Bulletin of the Brazilian Mathematical Society, 2020) [Artigo]

  The Schubert derivation is a distinguished Hasse–Schmidt derivation on the exterior algebra of a free abelian group, encoding the formalism of Schubert calculus for all Grassmannians at once. The purpose of this paper is ...

• Integrated lot-sizing and one-dimensional cutting stock problem with usable leftovers 

  do Nascimento, D. N. ; de Araujo, S. A. ; Cherri, A. C. (Annals of Operations Research, 2020) [Artigo]

  This paper addresses the integration of the lot-sizing problem and the one-dimensional cutting stock problem with usable leftovers (LSP-CSPUL). This integration aims to minimize the cost of cutting items from objects ...

• On an energy-dependent quantum system with solutions in terms of a class of hypergeometric para-orthogonal polynomials on the unit circle 

  Borrego-Morell, Jorge A.; Bracciali, Cleonice F. ; Ranga, Alagacone Sri (Mathematics, 2020) [Artigo]

  We study an energy-dependent potential related to the Rosen-Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrodinger operator in terms of a class of functions associated to a ...

• Trace forms of certain subfields of cyclotomic fields and applications 

  Ferrari, Agnaldo José ; de Andrade, Antonio Aparecido ; de Araujo, Robson Ricardo; Interlando, José Carmelo (Journal of Algebra Combinatorics Discrete Structures and Applications, 2020) [Artigo]

  In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula ...

• Phase portraits of the quadratic polynomial Liénard differential systems 

  Gouveia, Márcio R. A. ; Llibre, Jaume; Roberto, Luci Any (Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2020) [Artigo]

  We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems where (x, y) ϵR 2 are the variables and a,b,c,d,e are real parameters.

• Piecewise-Smooth Slow–Fast Systems 

  da Silva, Paulo R. ; de Moraes, Jaime R. (Journal of Dynamical and Control Systems, 2020) [Artigo]

  We deal with piecewise-smooth differential systems ż= X(z) , z= (x, y) ∈ ℝ× ℝn − 1, with switching occurring in a codimension one smooth surface Σ. A regularization of X is a 1-parameter family of smooth vector fields Xδ,δ ...

• Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation 

  da Silva, P. R. ; Meza-Sarmiento, I. S. ; Novaes, D. D. (Differential Equations and Dynamical Systems, 2020) [Artigo]

  We consider piecewise smooth vector fields (PSVF) defined in open sets M⊆ Rn with switching manifold being a smooth surface Σ. We assume that M\ Σ contains exactly two connected regions, namely Σ + and Σ -. Then, the PSVF ...

• On the dynamics of the Euler equations on so(4) 

  Buzzi, Claudio A. ; Llibre, Jaume; Pazim, Rubens (Dynamical Systems, 2020) [Artigo]

  This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3-dimensional ...

• Some variants of Cauchy's mean value theorem 

  Lozada-Cruz, German (International Journal of Mathematical Education in Science and Technology, 2019) [Nota]

  In this note, some variants of Cauchy's mean value theorem are proved. The main tools to prove these results are some elementary auxiliary functions.

• Piecewise linear systems with closed sliding poly-Trajectories 

  De Moraes, Jaime R. ; Da Silva, Paulo R. (Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014) [Artigo]

  In this paper we study piecewise linear (PWL) vector fields F(x, y) = € F+(x, y) if x ≥ 0, F-(x, y) if x ≤ 0, where x = (x, y) € ℝ2, F+(x) = A+x + b+ and F-(x) = A-x + b-, A+ = (a+ ij ) and A- = (a- ij ) are (2 ×2) constant ...

• Filled Julia set of some class of Hénon-like maps 

  Antonio Caprio, Danilo (Dynamical Systems, 2020) [Artigo]

  In this work we consider a class of endomorphisms of R2 defined by f (x, y) = (xy + c, x), where c ∈ R is a real number and we prove that when −1 < c < 0, the forward filled Julia set of f is the union of stable manifolds ...

• Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems 

  Melega, Gislaine Mara; Araujo, Silvio Alexandre de ; Morabito, Reinaldo (Annals Of Operations Research, 2020) [Artigo]

  In this paper, we address a two-stage integrated lot-sizing, scheduling and cutting stock problem with sequence-dependent setup times and setup costs. In production stage one, a cutting machine is used to cut large objects ...

• A GENERALIZED GROBMAN-HARTMAN THEOREM 

  Bernardes Jr, Nilson C.; Messaoudi, Ali (Proceedings Of The American Mathematical Society, 2020) [Artigo]

  We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.

• Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations 

  Messias, Marcelo ; Silva, Rafael Paulino (International Journal Of Bifurcation And Chaos, 2020) [Artigo]

  In this work, by using an algebraic criterion presented by us in an earlier paper, we determine the conditions on the parameters in order to guarantee the nonchaotic behavior for some classes of nonlinear third-order ...

• Gronwall's conjecture for 3-webs with infinitesimal symmetries 

  Agafonov, Sergey (Communications In Analysis And Geometry, 2020) [Artigo]

  We study non-flat planar 3-webs with infinitesimal symmetries. Using multi-dimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this ...

• PERIODS OF PERIODIC HOMEOMORPHISMS OF PINCHED SURFACES WITH ONE OR TWO BRANCHING POINTS 

  Gouveia, Marcio R. A. ; Llibre, Jaume (Houston Journal Of Mathematics, 2019) [Artigo]

  In this paper we characterize all the possible sets of periods of a periodic homeomorphism defined on compact connected pinched surfaces with one or two branching points.

• PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS 

  Llibre, Jaume; Pereira, Weber F. ; Pessoa, Claudio (Electronic Journal Of Differential Equations, 2020) [Artigo]

  In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R-2.

• Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces 

  Suleiman, Marta L. ; Precioso, Juliana C. ; Prokopczyk, Andrea C. (Mathematical Methods In The Applied Sciences, 2020) [Artigo]

  In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in ...

• Galois Ring GR (2(3),8) Dependent 24 x 24 S-Box Design: An RGB Image Encryption Application 

  Shah, Tariq; Ali, Asif; Khan, Majid; Farooq, Ghazanfar; Andrade, Antonio Aparecido de (Wireless Personal Communications, 2020) [Artigo]

  An S-box is based on Boolean functions which are essentially the foundation of symmetric cryptographic systems. The Boolean functions are used for S-box designing in block ciphers and exploited as nonlinear components. ...

• Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with State-Dependent Delay 

  Hernandez, Eduardo; Wu, Jianhong; Fernandes, Denis (Applied Mathematics And Optimization, 2020) [Artigo]

  We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with state-dependent delay. Some examples related to partial neutral differential equations are presented.

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