• openAccess   Distributional chaos for the Forward and Backward Control traffic model 

      Barrachina, Xavier; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Elsevier (2015-05-02)
      The interest in car-following models has increased in the last years due to its connection with vehicle-to-vehicle communications and the development of driverless cars. Some non-linear models such as the Gazes–Herman–Rothery ...
    • openAccess   Highly tempering infinite matrices 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer Milan (2017-02)
      In this short note, it is proved the existence of in nite matrices that not only preserve convergence and limits of sequences but also convert every mem- ber of some dense vector space consisting, except for zero, of ...
    • openAccess   Lineability within Probability Theory settings 

      Conejero, J. Alberto; Fenoy, Mar; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2016)
      The search of lineability consists on nding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex analysis, ...
    • openAccess   Linear chaos for the Quick-Thinking-Driver model 

      Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2016)
      In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google ...
    • openAccess   Sharp values for the constants in the polynomial Bohnenblust-Hille inequality 

      Jiménez-Rodríguez, P.; Muñoz-Fernández, G. A.; murillo arcila, marina; Seoane Sepúlveda, Juan Taylor & Francis (2016)
      In this paper we prove that the complex polynomial Bohnenblust–Hille constant for 2-homogeneous polynomials in ℂ2 is exactly 4√3/2. We also give the exact value of the real polynomial Bohnenblust–Hille constant for ...
    • openAccess   Smooth functions with uncountably many zeros 

      Conejero, J. Alberto; Muñoz-Fernández, G. A.; murillo arcila, marina; Seoane Sepúlveda, Juan Sociéte Mathématique de Belgique (2015)
      In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by En o et al.
    • openAccess   Well-posedness for degenerate third order equations with delay and applications to inverse problems 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2018-10)
      In this paper, we study well-posedness for the following third-order in time equation with delay (0.1)α(Mu′)′′(t)+(Nu′)′(t)=βAu(t)+γBu′(t)+Gu′t+Fut+f(t),t∈[0,2π] where α, β, γ are real numbers, A and B are linear operators ...