Existence results of positive solutions for Kirchhoff type equations via bifurcation methods

In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -\Delta(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~\Omega, u>0& \mbox{in}~\Omega, u= 0& \mbox{on}~\partial\Omega, \end{array} \right. \end{equation*} in a bounded and smooth domain $\Omega$ in ${\rm I}\hskip -0.85mm{\rm R}$. By using change of variables and bifurcation methods, we show, under suitable conditions on the parameters $a,b,p,r$ and the nonlinearity $g$, the existence of positive solutions.Comment: 18 pages, 1 figur

New species of Physopleurus Lacordaire (Coleoptera, Cerambycidae, Prioninae)

Physopleurus erikae sp. nov. proveniente da Colômbia é descrita e figurada. É apresentada uma chave para identificação das espécies de Physopleurus.Physopleurus erikae sp. nov. from Colombia is described and figured. A key to the species of Physopleurus is added

THE IMMUNOLOGY OF EXPERIMENTAL CHAGAS' DISEASE : III. REJECTION OF ALLOGENEIC HEART CELLS IN VITRO

Experiments that consisted of incubation of Trypanosoma cruzi-sensitized lymphocytes derived from chronically infected rabbits and from rabbits repeatedly immunized with a small particle or membrane fraction derived from homogenates of T. cruzi forms, showed destruction of allogeneic, parasitized and nonparasitized heart cells in vitro. Mononuclear cells collected from peripheral blood were incubated for 1 h at 37°C to isolate the lymphocytes. Following incubation, over 99% of the cells in the supernate were lymphocytes, which were utilized in these experiments. At the start of these experiments, 70–80% of the sensitized lymphocytes were unattached, small and round, with sparse filipodia. In the ensuing hours, marked heart cell destruction, similar to that seen in an active lesion when lymphocytes invade heart tissue, were observed. After 18 h incubation, about 65–70% of the lymphocytes were attached, larger, and rough surfaced. Inhibition of monocyte migration tests, each in the presence of the antigens of subcellular fractions of T. cruzi organisms and of allogeneic heart myofibers, indicated the presence of a cross-reacting antigen common to both the parasite and the heart in the small particle or membrane fractions. The particulate antigens of the 30,000 g, 35-min fraction of heart muscle gave rise to inhibition of monocyte migration as did the counterpart fraction derived from T. cruzi organisms. The destruction of nonparasitized target heart cells by T. cruzi-sensitized lymphocytes is an in vitro model of the chronic myocarditis of Chagas' disease, and the recognition of cross-reactive antigens of the host cell by T. cruzi-sensitized lymphocytes is believed to be the pathogenic basis for subsequent tissue injury in the chronic phase of this disease

Contribuição para o estudo dos Rhinotragini (Coleoptera, Cerambycidae). II. Revisão de Ommata White, 1855

O gênero Ommata é revisto e dividido em quatro gêneros: Ommata sensu strictu, Acatainga gen. nov. (espécie-tipo Odontocera (?) maia Newman, 1841), Etimasu gen. nov. (espécie-tipo Ommata cosmipes Peñaherrera-Leiva & Tavakilian, 2003) e Pyrpotyra gen. nov. (espécie-tipo Ommata (Ommata) paradisiaca Tippmann, 1953). São descritas cinco espécies novas provenientes do Brasil e Bolívia: Ommata nigricollis (Brasil, Espírito Santo), O. andina (Bolívia), Pyrpotyra pytinga (Brasil, Pará), P. capixaba (Brasil, Espírito Santo) e P. paraensis (Brasil, Pará). As seguintes espécies são transferidas de Ommata para os novos gêneros, além das espécies-tipos: Acatinga boucheri (Tavakilian & Peñaherrera-Leiva, 2005), comb. nov.; A. gallardi (Peñaherrera-Leiva & Tavakilian, 2004), comb. nov.; A. quinquemaculata (Zajciw, 1966), comb. nov.; Pyrpotyra albitarsis (Galileo & Martins, 2010), comb. nov.The genus Ommata is reviewed and divided into four genera: Ommata sensu strictu, Acatinga gen. nov. (type species Odontocera (?) maia Newman, 1841), Etimasu gen. nov. (type species Ommata cosmipes Peñaherrera-Leiva & Tavakilian, 2003) and Pyrpotyra gen. nov. (type species Ommata (Ommata) paradisiaca Tippmann, 1953). Five new species are described: Ommata nigricollis (Brazil, Espírito Santo), Ommata andina (Bolivia), Pyrpotyra pytinga (Brazil, Pará), P. capixaba (Brazil, Espírito Santo), and P. paraensis (Brazil, Pará). The following species were transferred from Ommata to the new genera, besides the type species: Acatinga boucheri (Tavakilian & Peñaherrera-Leiva, 2005), comb. nov.; A. gallardi (Peñaherrera-Leiva & Tavakilian, 2004), comb. nov.; A. quinquemaculata (Zajciw, 1966), comb. nov.; Pyrpotyra albitarsis (Galileo & Martins, 2010), comb. nov

Contribuição para o estudo dos Rhinotragini (Coleoptera, Cerambycidae). III: Oxyommata Zajciw, 1970 e novo gênero oriundo da divisão de Xenocrasis Bates, 1873

Oxyommata Zajciw, 1970 e O. collaris (Audinet-Serville, 1833) são redescritos e comentados. Um novo gênero proveniente da divisão de Xenocrasis Bates, 1873 é descrito e três espécies alocadas nele: X. fulvicollis(Lacordaire, 1868); X. pubipennis (Fisher, 1952); e X. vestitipennis Zajciw, 1963. É apresentada chave para as espécies do novo gênero.Oxyommata Zajciw, 1970 and O. collaris (Audinet-Serville, 1833) are redescribed and commented uppon. A new genus from the division of Xenocrasis Bates, 1873 is described, and three species are allocated in to it: X. fulvicollis (Lacordaire, 1868); X. pubipennis (Fisher, 1952); and X. vestitipennis Zajciw, 1963. A key to the species of the new genus is added

Genetic study of gestation length in andalusian and arabian mares

The length of gestation in Andalusian, or Spanish Purebred (SPB) and Arabian (AB) mares reared in Spain was analysed, based on 766 spontaneous full-term deliveries appertaining to 141 mares of SPB breed and 72 mares of AB breed in 31 breeding seasons. The data were obtained from the Yeguada Militar de Jerez de la Frontera stud farm in Cadiz, Spain. The mean length of gestation was of 336.8 ´ ± 0.48 days in the SPB mares and 340.3 ± 0.63 days in AB mares. To assess the accurate prediction of time of birth the potential effect of a number of factors was investigated. The influences of the breed, mare, month and year of mating, age of the mother, number of births and sex of the foal were statistically significant. The factor have the greatest influence over the gestation length was the mare itself, with a correlation among consecutive births of around 0.4. The effect of inbreeding, both of the mare and foal, was negligible. Gestation length shortened as the breeding season progressed: in both breeds, a delay of 1 month in mating corresponded to a decrease of 3 days in the gestation length. According to our results, gestation length decrease as the mare gets older, with the shortest gestation periods when the mare is 10–12 years old, and from this point on, it slowly increases. The gestation period shortens as the 4th or 5th birth approaches, and then gets progressively longer. The range of variation in gestation length due to the number of births to the mare is of 2.9 days for the AB mares, and 2.2 days for SPB mares. The heritability for the gestation length for AB and the SPB breeds was 0.2, with a repeatability of 0.36 and 0.37, for SPB and AB breeds, respectively. With the data from both breeds, and using a classical approach, the response to selection was estimated if mares with extreme gestation lengths were culled, i.e. lengths which are under 310 days, or over 360 days. According to our results, in the case of SPB, a decrease of 14–45% would occur in the number of extreme gestation lengths, while in the AB breed, this value would decrease from 2 to 39%

A robust multi-model predictive controller for distributed parameter systems

12 páginas, 6 figurasIn this work a robust nonlinear model predictive controller for nonlinear convection–diffusion-reaction systems is presented. The controller makes use of a collection of reduced order approximations of the plant (models) reconstructed on-line by projection methods on proper orthogonal decomposition (POD) basis functions. The model selection and model update step is based on a sufficient condition that determines the maximum allowable process-model mismatch to guarantee stable control performance despite process uncertainty and disturbances. Proofs on the existence of a sequence of feasible approximations and control stability are given. Since plant approximations are built on-line based on actual measurements, the proposed controller can be interpreted as a multi-model nonlinear predictive control (MMPC). The performance of the MMPC strategy is illustrated by simulation experiments on a problem that involves reactant concentration control of a tubular reactor with recycle.This work has been also partially founded by the Spanish Ministry of Science and Innovation (SMART-QC, AGL2008-05267-C03-01), the FP7 CAFE project (KBBE-2007-1-212754), the Project PTDC/EQU-ESI/73458/2006 from the Portuguese Foundation for Science and Technology and PI grant 07/IN.1/I1838 by Science Foundation Ireland. Also, the authors acknowledge financial support received by a collaborative grant GRICES-CSIC.Peer reviewe