Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type

Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 reference

Bulgaria se dispone a impulsar el debate sobre la política de cohesión

El ISSN corresponde a la versión electrónica del documentoMientras Bulgaria se prepara para asumir la Presidencia de la UE en enero de 2018, Tomislav Donchev, vice primer ministro, aporta su punto de vista al debate actual sobre la política de cohesión posterior a 2020 y sobre la importancia de la solidaridad europea

A study of temperature-related non-linearity at the metal-silicon interface

In this paper, we investigate the temperature dependencies of metal-semiconductor interfaces in an effort to better reproduce the current-voltage-temperature (IVT) characteristics of any Schottky diode, regardless of homogeneity. Four silicon Schottky diodes were fabricated for this work, each displaying different degrees of inhomogeneity; a relatively homogeneous NiV/Si diode, a Ti/Si and Cr/Si diode with double bumps at only the lowest temperatures, and a Nb/Si diode displaying extensive non-linearity. The 77–300 K IVT responses are modelled using a semi-automated implementation of Tung's electron transport model, and each of the diodes are well reproduced. However, in achieving this, it is revealed that each of the three key fitting parameters within the model display a significant temperature dependency. In analysing these dependencies, we reveal how a rise in thermal energy “activates” exponentially more interfacial patches, the activation rate being dependent on the carrier concentration at the patch saddle point (the patch's maximum barrier height), which in turn is linked to the relative homogeneity of each diode. Finally, in a review of Tung's model, problems in the divergence of the current paths at low temperature are explained to be inherent due to the simplification of an interface that will contain competing defects and inhomogeneities

Functional differential inclusions involving dissipative and compact multifunctions

We examine the main qualitative properties of the solution set of differential inclusion with the lag. The right-hand side is supposed to be one side Lipschitz and with almost continuous concex hull. Afterwards we prove the existence of solutions when the right-hand side is a sum of one side Lipschitz and almost (upper) semicontinuous multifunction, which satisfy compactness condition