A generalized Riemann- Stieltjes integral on time scales and discontinuous dynamical equations

This paper is concerned with a generalization of the Riemann- Stieltjes integral on time scales for deal with some aspects of discontinuous dynamic equations in which Riemann-Stieltjes integral does not works. © 2011 Academic Publications.

Absolute continuity and existence of solutions to dynamic inclusions in time scales

We provide some properties for absolutely continuous functions in time scales. Then we consider a class of dynamical inclusions in time scales and extend to this class a convergence result of a sequence of almost inclusion trajectories to a limit which is actually a trajectory of the inclusion in question. We also introduce the so called Euler solution to dynamical systems in time scales and prove its existence. A combination of the existence of Euler solutions with the compactness type result described above ensures the existence of an actual trajectory for the dynamical inclusion when the setvalued vector field is nonempty, compact, convex and has closed graph. © 2012 Springer-Verlag.

Scales, Universality and Finite-Range Correction in Three-body Systems

The scale invariance manifested by the weakly-bound Efimov states implies that all the Efimov spectrum can be merged in a single scaling function. By considering this scaling function, the ratio between two consecutive energy levels, E3 (N+1) and E3 (N), can be obtained from a two-body low-energy observable (usually the scattering length a), given in units of the three-body energy level N. The zero-ranged scaling function is improved by incorporating finite range corrections in first order of r0/a (r0 is the potential effective range). The critical condition for three-identical bosons in s-wave, when the excited E3 (N+1) state disappears in the 2 + 1 threshold, is given by √E2/E3 (N) ≈ 0.38+0.12(r0/a). © 2012 Springer-Verlag.

Avaliação perioperatória da técnica de anestesia por tumescência em cadelas submetidas à mastectomia unilateral

Pós-graduação em Anestesiologia - FMB

Pouso Alegre (MG): expansão urbana e as dinâmicas socioespaciais em uma cidade média

Pós-graduação em Geografia - IGCE

Filippov's selection theorem and the existence of solutions for optimal control problems in time scales

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Tumescent local anesthesia with ropivacaine in different concentrations in bitches undergoing mastectomy: plasma concentration and post-operative analgesia

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

On volterra integral equations on time scales

The purpose of the present paper is to study some properties of solutions of Volterra integral equations on time scales. We generalize to a time scale some known properties concerning continuity and convergence of solutions from the continuous case.

Reference evapotranspiration models using different time scales in the Jaboticabal region of Sao Paulo, Brazil

The aim of this paper is to compare 18 reference evapotranspiration models to the standard Penman-Monteith model in the Jaboticabal, Sao Paulo, region for the following time scales: daily, 5-day, 15-day and seasonal. A total of 5 years of daily meteorological data was used for the following analyses: accuracy (mean absolute percentage error, Mape), precision (R-2) and tendency (bias) (systematic error, SE). The results were also compared at the 95% probability level with Tukey's test. The Priestley-Taylor (1972) method was the most accurate for all time scales, the Tanner-Pelton (1960) method was the most accurate in the winter, and the Thornthwaite (1948) method was the most accurate of the methods that only used temperature data in the equations.

Ordinary fractional differential equations are in fact usual entire ordinary differential equations on time scales

Despite the huge number of works considering fractional derivatives or derivatives on time scales some basic facts remain to be evaluated. Here we will be showing that the fractional derivative of monomials is in fact an entire derivative considered on an appropriate time scale.

Qualidade das medidas antropométricas produzidas em unidades de atenção básica à saúde da região de Botucatu-SP, Brasil

The aim of this study was to evaluate the quality of weight measurements produced in Primary Health Care Centers in Botucatu and surroundings. 14 Health Care Centers were included, all of them located in four towns in the area of Botucatu (4,555; 5,656; 18,761 and 128,397 inhabitants). General conditions and scale calibration conditions found in those Health Care Centers were evaluated. In order to evaluate the weight accuracy obtained by the local team, 10 adult users of each Center were addressed by the rater during the service routine in order to get a new weight evaluation, immediately after the measurement made by the team. The statistic method applied for checking the weight measurement held in the Heath Care Center and the scales accuracy was the measurement error technique (MET). The results have showed that out of 19 scales, 6 of them overestimated the weight by 50 grams, 1 of them underestimated the weight by 200 grams and the others were accurate. Evaluated as a group, the result of the scale MET was 44.3g. Regarding the conformity of the measures obtained by the MET of the adults weighing in the Health Care Centers compared to the ones obtained by the researcher, the expected result was obtained in only one Center (< 100g). The results have showed data compromise, rather due to lack of health team training than due to the conditions of the equipment used for the measurement.