Revistas académicas de la Universidad Católica del Norte
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Numerical approximation of solutions of neutral differential equations with state-dependent delay
We study the numerical approximation of solutions for neutral differential equations with state dependent delay. Specifically, we present an iterative numerical method for neutral differential equations obtained combining the Picard's method and a continuous numerical method for ordinary differential equations. In the last section are presented some examples solved by a computer program
Fuzzy graphs in fuzzy neural networks
In this paper we observe that, the fuzzy neural network architecture is isomorphic to the fuzzy graph model and the output of a fuzzy neural network with OR fuzzy neuron is equal to the strength of strongest path between the input layer (particular input neuron/neurons) and the out put layer(particular output neuron). We explain this result through an example, which describes the marketability of text books of kindergarten classes
Inclusion relations for k-uniformly starlike functions and some linear operator
In this paper, we have established the inclusion relations for k-uniformly starlike functions under the Ls (ai)f(z) operator. These results are also extended to k- uniformly convex functions, close to convex and quasi-convex functions
On existence of periodic solution to certain nonlinear third order differential equations
In this paper, it is investigated the existence of periodic solutions to the nonlinear third order differential equation :x'" + c2(t)x" + c1(f)x' + f(t, x) = p(t, x, x', x").The Leray-Schauder principle is used to show the existence of periodic solutions of this equation
Jornadas de Matemáticas
En la primera semana de Agosto, nuestro Departamento, realizó una vieja aspiración de sus integrantes: las Jornadas de Matemáticas de la Universidad del Norte. Esta se cristalizó a través de la Primera Escuela de Matemáticas, del 2 al 4 de Agosto, y del Encuentro de Matemáticas Zona Norte, del 5 al 6 del mismo mes
*-Jordan-triple maps on alternative *-algebras
Let \A and \A' be two alternative -algebras with identities 1_{\A} and 1_{\A'}, respectively, and and e_2 = 1_{\A} - e_1 nontrivial symmetric idempotents in \A. In this paper, we study the characterization of multiplicative -Jordan-triple derivations on alternative -algebras
Transposed Poisson ultra algebras
In this paper, we introduce transposed Poisson structures on the Heisenberg-Virasoro ultra algebra. We obtain a result that tells us that there are no non-trivial 1/2-ultra derivations on the Heisenberg-Virasoro ultra algebra and, as a consequence, we show that there are no non-trivial transposed Poisson ultra algebra structures defined on the Heisenberg-Virasoroultra algebra
Complementary nil vertex edge dominating sets
Dominating sets play a vital role in day-to-day life problems. For-providing effective services in a location, central points are to be identified. This can easily be achieved by graph theoretic techniques. Such graphs and relevant parameters are introduced and extensively studied. One such parameter is complementary nil vertex edge dominating set(cnved-set). A vertex edge dominating set(ved-set) of a connected graph G with vertex set V is said to be a complementary nil vertex edge dominating set(cnved-Set) of G if and only if V — D is not a ved-set of G. A cnved-set of minimum cardinality is called a minimum cnved-set(mcnved-set)of G and this minimum cardinality is called the complementary nil vertex-edge domination number of G and is denoted by γcnve(G). We have given a characterization result for a ved-set to be a cnved-set and also bounds for this parameter are obtained