Teodoro Lara | Universidad de Los Andes (Venezuela) (original) (raw)

Papers by Teodoro Lara

Annales Mathematicae Silesianae

In this research we introduce the concept of strong m-convexity for set-valued functions defined ... more In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.

In this paper we study the approximate controllability of a particular type of large scale CNN (C... more In this paper we study the approximate controllability of a particular type of large scale CNN (Cellular Neural Network) with delays given by: x ̇ = A0x(t) + ∑N j=1A (j)x(t − hj) +B0u, t ≥ 0, x(0) = r, r ∈ Rn, x(θ) = f(θ), θ ∈ [−h, 0), where 0 < h1 < h2 < · · · < hN represent the point delays, h = hN, the matrices B0, A0, A (j) ∈ L(Rn), i = 1, 2,... N, the control u belong to L2([0, τ],R n) and f ∈ L2([−h, 0];Rn). Moreover, A0 = diag(A1, · · · , AN), B0 = diag(B1, · · · , BN) and A(j), j = 1, · · · , N is an n × n block matrix A(j) =

In this paper we work in a SIRS model similar to the one given in [5], we study its dynamics unde... more In this paper we work in a SIRS model similar to the one given in [5], we study its dynamics under different conditions, local and global stability, and some type of bifurcation, no periodic orbits shows up. Two examples are also provided in order to illustrate particular cases of the general model, numerical implementation is performed to show behavior of the particular model in each case.

Divulgaciones Matematicas

ISRN Applied Mathematics, 2014

We address the dynamic of an energy price model in a more general approach; to our knowledge, in ... more We address the dynamic of an energy price model in a more general approach; to our knowledge, in previous works, different conditions are imposed on the energy price function at a particular value in order to characterize stability and unstability for real or complex eigenvalues. Nonexistence of periodic orbits is shown by means of Dulac’s criterion; we also exhibit some pictures of solutions. Finally we modify this model and apply it to some particular cases in Venezuela economy.

ABSTRACT: In this paper work we examine a Levinson type technique for solving dual Vandermonde sy... more ABSTRACT: In this paper work we examine a Levinson type technique for solving dual Vandermonde systems by means of block matrix and block vector operations which reduces the number of operations, save memory space considerably, in this sense, the algorithm ...

Electronic Journal of Differential …, 2009

Abstract. In this article we consider a chemostat-like model for a simple food chain where there ... more Abstract. In this article we consider a chemostat-like model for a simple food chain where there is a well stirred nutrient substance that serves as food for a prey population of microorganisms, which in turn, is the food for a predator population of microorganisms. ...

Nonlinear Analysis: Real World Applications, 2012

Applied Mathematical Sciences, 2015

In this research we introduce and study, analytic and numerically, a model of chemostat with dist... more In this research we introduce and study, analytic and numerically, a model of chemostat with distributed delay. This a generalization of the model, with no delay, first treated by Kuang. We give conditions for asymptotic stability, survival of species or extinction of them. 1 This research has been partially supported by Central Bank of Venezuela. 2050 Mario Cavani et al.

Electronic Journal of Differential Equations, 2005

In this work, we consider the model of Cellular Neural Network (CNN) introduced by Chua and Yang ... more In this work, we consider the model of Cellular Neural Network (CNN) introduced by Chua and Yang in 1988, but with the cloning templates !-periodic in time. By imposing periodic boundary conditions the matrices involved in the system become circulant and !-periodic. We show some results on the controllability of the linear model using a Theorem by Brunovsky for the

Abstract. In this work we consider the model of cellular neural network (CNN) introduced by Chua ... more Abstract. In this work we consider the model of cellular neural network (CNN) introduced by Chua and Yang in 1988. We impose the Von-Neumann boundary conditions and study the controllability of corresponding system, then these results are used in image detection by means of numerical simula-tions. 1.

Mecanografiado Tesis (Magister Scientiae)-- Universidad de Los Andes, Facultad de Ciencias, Depar... more Mecanografiado Tesis (Magister Scientiae)-- Universidad de Los Andes, Facultad de Ciencias, Departamento de Matemáticas, Mérida, 2003 Incluye bibliografía

2003 Colloquium on Differential Equations …, 2005

In this work we consider the model of cellular neural network (CNN) introduced by Chua and Yang i... more In this work we consider the model of cellular neural network (CNN) introduced by Chua and Yang in 1988. We impose the Von-Neumann boundary conditions and study the controllability of corresponding system, then these results are used in image detection by means of numerical simula- tions.

Mathematica Æterna, 2016

In this article we introduce the concepts of approximate Jensen m-convexity and approximate Wrigh... more In this article we introduce the concepts of approximate Jensen m-convexity and approximate Wright m-convexity for real valued functions defined on the set of nonnegative real numbers. We prove some Bernstein-Doetsch type results for real valued sub-homogeneous functions defined on the set of all positive real numbers.

In this paper we continue developing the concept of a strongly mconvex function recently introduc... more In this paper we continue developing the concept of a strongly mconvex function recently introduced. We also establish some properties and show Fej´er and Hermite-Hadamard types inequalities for these functions inspired basically on the concepts of m-convex and strongly convex functions and their corresponding inequalities.

In this research set and prove some algebraic properties and inequalities for m-convex functions ... more In this research set and prove some algebraic properties and inequalities for m-convex functions of self-adjoint operators in Hilbert spaces; some examples are also exhibited.

In this research we show some characterizations in terms of inequalities, for strongly convex fun... more In this research we show some characterizations in terms of inequalities, for strongly convex functions defined on inner product spaces. These results generalize the ones for functions defined on real intervals. They involve ideas of the first and second derivatives on inner product spaces. Mathematics Subject Classification: 26A51, 39B62

Journal of Advances in Mathematics and Computer Science, 2017

Annales Mathematicae Silesianae, 2019

In this research we introduce the concept of m-convex function of higher order by means of the so... more In this research we introduce the concept of m-convex function of higher order by means of the so called m-divided difference; elementary properties of this type of functions are exhibited and some examples are provided.