Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

We prove an existence and location result for the third order functional nonlinear boundary value problem u′′′(t) = f(t,u,u′(t),u′′(t)), for t∈[a,b], 0 = L₀(u,u′,u(t₀)), 0 = L₁(u,u′,u′(a),u′′(a)), 0 = L₂(u,u′,u′(b),u′′(b)), with t₀∈[a,b] given, f:I×C(I)×R²→R is a L¹- Carathéodory function allowing some discontinuities on t and L₀,L₁, L₂ are continuous functions depending functionally on u and u′. The arguments make use of an a priori estimate on u′′, lower and upper solutions method and degree theory. Applications to a multipoint problem and to a beam equation will be presented

Study of the stability of acetaminophen extrudates for 3D printing prepared by hot melt extrusion when stored at different relative humidites

Poster presented at the PSWC2020 Virtual (7th FIP Pharmaceutical Sciences World Congress), 4-6 October 2020N/

Characterization and stability of co-amorphous systems containing Olanzapine and sulfonic acids

Abstract of the communication presented at the 4th International Congress of CiiEM - "Health, Well-being and Ageing in the XXI Century." 2-5 June 2019, Campus Egas Moniz, Monte de Caparica, PortugalN/

Algae-based biotopes of the Azores (Portugal): spatial and seasonal variation.

Copyright © Springer Science+Business Media B.V. 2007.The increasing importance of coastal management created the need for a systematic classification and characterization of marine communities. Accurate quantitative methodologies for rocky shore algae-based biotope definition, were developed and tested on the Islands of São Miguel and Santa Maria (Azores). Shores of both islands were surveyed, covering all rocky substrate types. Biotopes were defined by assessing the associated habitat and species characteristics, using ANOSIM and SIMPER analysis, respectively. A total of ten biotopes were identified. Generally both islands’ biotopes are characterized by the same taxa/ecological categories, in summer and in winter. However, association between these taxa/ecological categories and the shore height at which they occur differs geographically and temporally. There is a generalized gradual succession of taxa/ecological categories from upper intertidal down to deepest subtidal, although geographical differences occur. Diversity is highest at the land–water interface and decreases towards both extremes (upper intertidal and deepest subtidal level). The strongest evidence of seasonal variation occurs at the upper intertidal. The methodology used proves to be effective in broad scale shoreline assessment of biological communities in warm-temperate coastal marine environments, and thus suitable for the purpose it was developed for. As a consequence it should be applied to the remaining islands of the Azorean archipelago as well as to other macaronesian islands, e.g. Madeira and the Canaries

Co-formability, solubility enhancement and stability of Olanzapine co-amorphous systems produced with different co-formers

Abstract of the poster presented at the 4th International Congress of CiiEM - "Health, Well-being and Ageing in the XXI Century." 2-5 June 2019, Campus Egas Moniz, Monte de Caparica, PortugalN/

A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition

The purpose of this work is to establish existence and location results for the higher order fully nonlinear differential equation u⁽ⁿ⁾(t)=f(t,u(t),u′(t),…,u⁽ⁿ⁻¹⁾(t)), n≥2, with the boundary conditions u^{(i)}(a) = A, for i=0,⋯,n-3, u⁽ⁿ⁻¹⁾(a) = B, u⁽ⁿ⁻¹⁾(b)=C or u^{(i)}(a)=A, for i=0,⋯,n-3, c₁u⁽ⁿ⁻²⁾(a)-c₂u⁽ⁿ⁻¹⁾(a)=B, c₃u⁽ⁿ⁻²⁾(b)+c₄u⁽ⁿ⁻¹⁾(b)=C, with A_{i},B,C∈R, for i=0,⋯,n-3, and c₁, c₂, c₃, c₄ real positive constants. It is assumed that f:[a,b]×Rⁿ⁻¹→R is a continuous function satisfying one-sided Nagumo-type conditions which allows an asymmetric unbounded behavior on the nonlinearity. The arguments are based on Leray-Schauder topological degree and lower and upper solutions method

Los moluscos del cesped algal intermareale en Azores

The molluscan fauna of the high intertidal algal turf on the island of Pico (Azores) was studied in order to complement existing descriptions of the intertidal biota on these islands. A total of 15,275 specimens belonging to 19 species were found. Five species, the gastropods Alvania mediolittoralis Gofas, 1989, Omalogyra atomus (Philippi, 1841), Pisinna glabrata (Megerle von Muhlfeld, 1824) and Skeneopsis planorbis (Fabricius 0., 1780), and the bivalve Lasaea adansoni (Gmelin, 1791), account for 98% of the total number of specimens, P. glabrata itself being responsible for 46% of all specimens. In places where patellid limpets are absent, Ihe algal turf extends higher in the intertidal zone. In such places, three very abundant molluscan species characterize molluscan assemblages in the algal turf: Lasaea adansoni, Skeneopsis planorbis and Pisinna glabrata, Lasaeo adansoni and Skeneopsis planorbis virtually disappear in the transition from algal lurf to algal fronds, the only (very) abundant species being P. glabrata and, with less importance, Omalogyra atomus and Sinezona cingulata (Costa O.G., 1861)

Comparison of the co-amorphization ability of Olanzapine with amino, carboxylic and sulfonic acids

Abstract of the poster presented at the 3rd European Conference on Pharmaceutics. 25-26 March 2019, Bologne, ItalyN/

Evaluation of the stability of 3D-printed paracetamol tablets stored at different relative humidities

Abstract of the communication presented at the Controlled Release Society Virtual Annual Meeting, 29 June-2 July 2020N/