Recent Submissions

  • Schubert Derivations on the Infinite Wedge Power

    Gatto, Letterio; Salehyan, Parham Autor UNESP (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. Autor UNESP; de Araujo, S. A. Autor UNESP; Cherri, A. C. Autor UNESP (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. Autor UNESP; Ranga, Alagacone Sri Autor UNESP (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 Autor UNESP; de Andrade, Antonio Aparecido Autor UNESP; 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. Autor UNESP; Llibre, Jaume; Roberto, Luci Any Autor UNESP (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. Autor UNESP; 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. Autor UNESP; Meza-Sarmiento, I. S. Autor UNESP; 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. Autor UNESP; 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 Autor UNESP (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. Autor UNESP; Da Silva, Paulo R. Autor UNESP (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 Autor UNESP (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 Autor UNESP; 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 ...

    Bernardes Jr, Nilson C.; Messaoudi, Ali Autor UNESP (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 Autor UNESP; Silva, Rafael Paulino Autor UNESP (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 Autor UNESP (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 ...

    Gouveia, Marcio R. A. Autor UNESP; 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.

    Llibre, Jaume; Pereira, Weber F. Autor UNESP; Pessoa, Claudio Autor UNESP (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. Autor UNESP; Precioso, Juliana C. Autor UNESP; Prokopczyk, Andrea C. Autor UNESP (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 Autor UNESP (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 Autor UNESP (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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