Perron's theorem for nondensely defined partial functional differential equations

The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise below), then the asymptotic behavior of solutions can be described in terms of the dynamic of the unperturbed linear part of the equation

Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

Abstract We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding

Development of a drift tube mass spectrometer associated with plasma microjets

International audienceThe objective of our instrument is the detection of Volatile Organic Compounds (VOCs) at trace level either in air or deposited on surfaces. The mass analyzer is a drift tube associated with a linear quadrupole and we are designing a linear ion trap for a more compact version. We will use Plasmas microjets in order to desorb molecules of low volatility deposited on surfaces.In the first version of our instrument precursor ions are formed in a glow discharge, then react with the air at a pressure of about 1 mbar in the drift tube and are then mass analyzed with a quadrupole mass filter.Compounds of low volatility are deposited on surfaces. In order to desorb them we will use plasmas microjets operated with Ar