Browsing by Author "XX676989"

Now showing items 1-7 of 7

    • Asymptotic to systems with memory and non-local initial data 
      Muñoz Rivera, Jaime E.; Poblete Oviedo, Verónica; Pozo, Juan C.; Vera, Octavio (World Scientific Publishing, 2020)
      We study the existence and the asymptotic behavior of the solution of an abstract viscoelastic system submitted to non-local initial data. u(tt )+ Au - integral(t)(0) g(t - s)Bu(s)ds = 0 u(0) = xi(u) in V, u(t) (0) = eta(u) ...
    • Maximal Regularity for Flexible Structural Systems in Lebesgue Spaces 
      Fernández, Claudio; Lizama, Carlos; Poblete Oviedo, Verónica (Hindawi Publishing Corporation, 2010)
      We study abstract equations of the form λu t u t c2Au t c2μAu t f t , 0 < λ < μ which is motivated by the study of vibrations of flexible structures possessing internal material damping. We introduce the ...
    • Mild solutions of non-autonomous second order problems with nonlocal initial conditions 
      Henríquez, Hernán R.; Poblete Oviedo, Verónica; Pozo, Juan C. (Elsevier, 2014)
      In this paper we establish the existence of mild solutions for a non-autonomous abstract semi-linear second order differential equation submitted to nonlocal initial conditions. Our approach relies on the existence of an ...
    • Periodic solutions of a fractional neutral equation with finite delay 
      Poblete Oviedo, Verónica; Pozo, Juan C. (Springer Basel, 2014)
      In this paper, we prove the maximal regularity property of an abstract fractional differential equation with finite delay on periodic Besov and Triebel–Lizorkin spaces and use these results to guarantee the existence and ...
    • Periodic solutions of fractional differential equations with delay 
      Lizama, Carlos; Poblete Oviedo, Verónica (BIRKHAUSER VERLAG AG, 2011-03)
      In this paper, we give a necessary and sufficient conditions for the existence and uniqueness of periodic solutions of inhomogeneous abstract fractional differential equations with delay. The conditions are obtained in ...
    • Periodic solutions of neutral fractional differential equations 
      Henriquez, Hernan R.; Poblete Oviedo, Verónica (Wiley, 2017)
      We characterize the existence of periodic solutions for some abstract neutral functional fractional differential equations with finite delay when the underlying space is a UMD space.
    • Vibrations modeled by the standard linear model of viscoelasticity withboundary dissipation 
      Gamboa, Pedro; Nguyen, Huy Hoang; Vera, Octavio; Poblete Oviedo, Verónica (Texas State University, 2017)
      We consider vibrations modeled by the standard linear solid model of viscoelasticity with boundary dissipation. We establish the well-posedness and the exponential stability.