B.J.B. Libros

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  • Miniatura
    PublicaciónAcceso abierto
    El problema de frobenius para semigrupos numéricos generados por colas de sucesiones de la forma ca^n − d.
    (2022-08-31) Rhenals Julio, Calixto José; Borja Soto, Jerson Manuel
    In this work we address the general study of the submonoids Sn of N generated by the set {xk | k ≥ n}, where xn = can − d for all n ≥ 1, a, c and d are integers with a ≥ 2 and c > 0. Furthermore, for these submonoids we give a characterization of the embedding dimension, the Apéry set Ap(Sn, xn), and we use these results for the calculation of Frobenius number of Sn, under fairly general conditions, as well as other special elements associated with Sn.
  • Miniatura
    PublicaciónAcceso abierto
    Estudio de un sistema de Klein-Gordon-Schrödinger fraccionario en tiempo y espacio en el marco de los espacios Lp débiles
    (2022-09-01) Guerra Ramos, Nafer Enrique; Banquet Brango, Carlos Alberto; Villamizar Roa, Élder Jesús
    The description of many natural phenomena is given thanks to the theory of differential equations and calculus. The latter has evolved in recent decades into what is known as fractional calculus, consolidating itself as a powerful tool that has largely made up for the limitations of integer calculus. In this work, we use tools from calculus with fractional derivatives in time and space to study an initial value problem for a nonlinear Klein-Gordon-Schrödinger system (KGS) in Rn × R, with n ≥ 1, considering general polynomial nonlinearities including, in particular, the classical Yukawa model describing the interaction between nucleons and scalar mesons. We analyse time decay estimates for the associated linear system and demonstrate the existence of local and global mild solutions of the fractional KGS system with initial data in the framework of weak L p spaces. Finally we study the asymptotic behavior of the global mild solutions.
  • Miniatura
    PublicaciónAcceso abierto
    Análisis teórico de un modelo de deflexión de placas
    (2022-09-01) Corpa Liñan, Luis Enrique; Banquet Brango, Carlos Alberto; Villamizar Roa, Élder Jesús
    This thesis is devoted to the study of the initial value problem for a nonlinear plate equation in Rn × (0, ∞) with initial data in Modulation spaces, which includes the Bessel-potential Hs p and Besov B s p,q spaces, for large enought regularity index s. We derive a set of time-decay estimates for the corresponding linear plate equation on the framework of modulation spaces, and then, we use these results to analyze the existence and asymptotic stability of global solutions of the nonlinear problem.