Positive solutions of fourth order problems with clamped beam boundary conditions

n this paper we make an exhaustive study of the fourth order linear operator u((4)) + M u coupled with the clamped beam conditions u(0) = u(1) = u'(0) = u'(1) = 0. We obtain the exact values on the real parameter M for which this operator satisfies an anti-maximum principle. Such a property is equivalent to the fact that the related Green's function is nonnegative in [0, 1] x [0, 1]. When M < 0 we obtain the best estimate by means of the spectral theory and for M > 0 we attain the optimal value by studying the oscillation properties of the solutions of the homogeneous equation u((4)) + M u = 0. By using the method of lower and upper solutions we deduce the existence of solutions for nonlinear problems coupled with this boundary conditions. (C) 2011 Elsevier Ltd. All rights reserved.

Hybrid fuzzy Monte Carlo and logic programming model for distribution network reconfiguration in the presence of outages

This paper presents a methodology for distribution networks reconfiguration in outage presence in order to choose the reconfiguration that presents the lower power losses. The methodology is based on statistical failure and repair data of the distribution power system components and uses fuzzy-probabilistic modelling for system component outage parameters. Fuzzy membership functions of system component outage parameters are obtained by statistical records. A hybrid method of fuzzy set and Monte Carlo simulation based on the fuzzy-probabilistic models allows catching both randomness and fuzziness of component outage parameters. Once obtained the system states by Monte Carlo simulation, a logical programming algorithm is applied to get all possible reconfigurations for every system state. In order to evaluate the line flows and bus voltages and to identify if there is any overloading, and/or voltage violation a distribution power flow has been applied to select the feasible reconfiguration with lower power losses. To illustrate the application of the proposed methodology to a practical case, the paper includes a case study that considers a real distribution network.

Validação de metodologia analítica para determinação de oxalato na urina

A validação metodológica permite evidenciar se os resultados obtidos por um método são confiáveis, tornando-se um elemento essencial na qualidade. Neste estudo, cujo objectivo é validar a metodologia enzimática para determinação de oxalato na urina, incluíram-se 30 amostras de urina de 24horas, pré-tratadas e estudadas em dois auto-analisadores. Os valores dos limites de detecção e quantificação foram 0,98 e 0,79 mg/L, respectivamente. Para a exactidão obteve-se p=0,713. Na precisão intermédia entre corridas não existem diferenças estatisticamente significativas, em oposição às repetições. Para a linearidade obteve-se r=1 e a sensibilidade foi 0,6%. Conclui-se que o método se mostrou exacto e linear.