Revistas académicas de la Universidad Católica del Norte
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Una nota sobre la compacidad de funciones coseno de operadores
No full textEn este trabajo caracterizamos las funciones coseno fuertemente continua de operaciones, definidas en un espacio de Banach complejo y generadas por un operador lineal A tal que A? es compacto, para algún entero n ? 1
Problemas de asignación secuencial no paramétrica
No full textSe resuelve el problema de asignación secuencial con k ? 2 procesos estocásticos independientes, siguiendo el contexto bayesiano no paramétrico de Ferguson (1973), y se demuestra que el valor de este problema es una función continua de la cantidad de información a priori que se tiene de cada uno de los procesos
Una nota sobre la compacidad de familias resolventes de operadores
No full textEn este trabajo se caracteriza familias resolventes de operadores R(t) para una ecuación de tipo Volterra definida en un espacio de Banach con la propiedad adicional que R(t) - I es un operador compacto para cada t > O. En particular, este resultado extiende una caracterización similar para semigrupos de operadores efectuada por J. R. Cuthbert [1] y para familias Coseno de Operadores realizada por H. Henríquez
A fixed point theorem for orbitally continuous functions
No full textA fixed point theorem for orbitally continuous functions is presented which extends well known results
Asymptotic analysis for the number of subgraphs of a given size in temporal random graphs
No full textIn this work we study a law of large numbers and a functional central limit theorem for the number os subgraphs of given size in a random graph which evolves with the lime. Our motivation comes from the study of reliability measures in communications networks
Fubuni's theorem via Mikusinski's characterization of the Lebesgue integral
No full textWe generalize a characterization of the Lebesgue integral in ?n due to J Mikusinski to abstract measure spaces and use the characterizaton to give a proof of Fubini 's Theorem
Involutive co-distributions preserved by transitive families of vector fields
No full textThis paper deals with integrability conditions of involutive co-distributions defined on the co-tangent bundle of a differentiable manifold M. Via Frobeniu.s 's integrability theorem, the analysis is aimed at the search of conditions so that this type of co-distributions be preserved by transitive familiee of vector fields in M. We rely on the work of Lobry, Sussmann, Matsuda and Stefan. The type of situation studied comes up naturally in weak-observability problems and weakly- minimal realizations of arbitrary control systems
Sobre la clasificación de train algebras de rango 3 y tipo (4,n-3)
No full textEn este artículo analizamos T-álgebras de rango 3, tipo (4,n-3) y dim J =n-2. Algunos resultados son obtenidos para el caso di m J =n-1
Compensators for singular control systems with small delays in outputs
No full textIn this paper we study the design of dynamic compensators for linear singular control systems described by the equation Ex' ( t) = Ax(t) + Bu(t) with time delayed observed output y(t) = Cx(t- r).The proposed compensators are applied to solve the regulator problema for the mentioned systems with controlled output z(t) = Dx(t). We also establish a result of existence of exponentially bounded solutions of the retarded singular differential equation Ex' ( t) = Ax(t) + Rx(t-r) + f(t), t > 0, with initial condition x(?) = ?(?), - r ? ? ? 0.