São Paulo Journal of Mathematical Sciences
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Orbital stability of periodic traveling-wave solutions for a dispersive equation
São Paulo Journal of Mathematical Sciences - Tập 13 - Trang 447-464 - 2019
In this paper we establish the orbital stability of periodic traveling waves for
a general class of dispersive equations. We use the Implicit Function Theorem to
guarantee the existence of smooth solutions depending of the corresponding wave
speed. Essentially, our method establishes that if the linearized operator has
only one negative eigenvalue which is simple and zero is a simple eigenvalue th...
A geometric proof of the Poincaré-Birkhoff-Witt Theorem
São Paulo Journal of Mathematical Sciences - Tập 12 - Trang 246-251 - 2018
We use that the n-sphere for $$n\ge 2$$ is simply-connected to prove the
Poincaré-Birkhoff-Witt Theorem.
On partial H-radicals of Jacobson type
São Paulo Journal of Mathematical Sciences - Tập 10 - Trang 140-163 - 2016
Let H be a Hopf algebra over a field $$\mathbbm {k}$$ . In this paper we present
a general theory on partial H-radicals in the sense of Amitsur-Kurosh, for
partial H-module algebras, as made in Fisher (J Algebra 34:217–231, 1975) and
Sidorov (Algebra i Logika 28(6):705–721, 1989) for global actions, and study
some partial H-radicals of Jacobson type. Among other results we discuss some
questions p...
Symmetry methods in mathematical biology
São Paulo Journal of Mathematical Sciences - Tập 9 Số 1 - Trang 1-36 - 2015
Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones
São Paulo Journal of Mathematical Sciences - Tập 16 - Trang 932-956 - 2022
In this paper, we study the number of limit cycles that can bifurcate from a
period annulus in discontinuous planar piecewise linear Hamiltonian differential
system with three zones separated by two parallel straight lines. More
precisely, we consider the case where the period annulus, bounded by a
heteroclinic orbit or homoclinic loop, is obtained from a real center of the
central subsystem, i.e....
Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator
São Paulo Journal of Mathematical Sciences - Tập 15 - Trang 435-449 - 2021
By means of the Laplace transform, we give the solution of the generalized
Riemann-Liouville and Liouville-Caputo time fractional evolution equations in
infinite dimensions associated to the number operator. These solutions are given
in terms of the Mittag-Leffler function and the convolution product.
Generalized root systems and the affine Lie superalgebra $${\mathrm {G}}^{(1)}(3)$$
São Paulo Journal of Mathematical Sciences - Tập 10 - Trang 9-19 - 2015
We give a new proof of the presentation of the affine Lie superalgebra
$${\mathrm {G}}^{(1)}(3)$$ using a Weyl groupoid.
On the existence of infinite-dimensional generalized Harish-Chandra modules
São Paulo Journal of Mathematical Sciences - Tập 12 - Trang 290-294 - 2018
We prove a general existence result for infinite-dimensional admissible
$$(\mathfrak {g},\mathfrak {k})$$ -modules, where $$\mathfrak {g}$$ is a
reductive finite-dimensional complex Lie algebra and $$\mathfrak {k}$$ is a
reductive in $$\mathfrak {g}$$ algebraic subalgebra....
Multi- $${\mathcal {K}}$$ -bi-Lipschitz equivalence in dimension two
São Paulo Journal of Mathematical Sciences - - Trang 1-13 - 2024
In this paper, we study Multi- $${\mathcal {K}}$$ -equivalence of multi-germs of
functions on the plane, definable in a polynomially bounded o-minimal structure.
As in Birbrair et al. (Annali SNS Pisa 17:81–92, 2017.
https://doi.org/10.2422/2036-2145.201503_014 ), we partition the germ of the
plane at origin into zones of arcs in such a way that it produces a
non-Archimedean space (set of orders a...
A survey on categories of logics and algebraizable logics
São Paulo Journal of Mathematical Sciences - Tập 9 - Trang 76-96 - 2015
The present work is intended as an overview of issues that surround the study of
categories of logics, i.e., motivations to definition of category of logics, the
main categories of logics, and the application these categories in a
representation theory of logics.
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