An order on subsets of cone metric spaces and fixed points of set-valued contractions.
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.
An Orlicz-Sobolev space setting for quasilinear elliptic problems.
An oscillation theorem for a second order nonlinear differential equations with variable potential.
An overview of some recent developments on the Invariant Subspace Problem
This paper presents an account of some recent approaches to the Invariant Subspace Problem. It contains a brief historical account of the problem, and some more detailed discussions of specific topics, namely, universal operators, the Bishop operators, and Read’s Banach space counter-example involving a finitely strictly singular operator.
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
An upper bound for the Lipschitz retraction constant in l₁
We construct a new lipschitzian retraction from the closed unit ball of the Banach space l₁ onto its boundary, with Lipschitz constant 8.
An upper bound for the local time-decay of scattering solutions for the Schrödinger equation with Coulomb potential
Analycity of the Semigroup Generated by the Stokes Operator.
Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analyse harmonique non linéaire
Analyse spectrale des formes automorphes et séries d'Eisenstein.
Analyse spectrale et théorème de prédiction statistique de Wiener
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error...
Analysis of a Damped Nonlinear Multilevel Method.
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
This paper provides new results of consistence and convergence of the lumped parameters (ODE models) toward one-dimensional (hyperbolic or parabolic) models for blood flow. Indeed, lumped parameter models (exploiting the electric circuit analogy for the circulatory system) are shown to discretize continuous 1D models at first order in space. We derive the complete set of equations useful for the blood flow networks, new schemes for electric circuit analogy, the stability criteria that guarantee...
Analysis of lumped parameter models for blood flow simulations and their relation with 1D models
This paper provides new results of consistence and convergence of the lumped parameters (ODE models) toward one-dimensional (hyperbolic or parabolic) models for blood flow. Indeed, lumped parameter models (exploiting the electric circuit analogy for the circulatory system) are shown to discretize continuous 1D models at first order in space. We derive the complete set of equations useful for the blood flow networks, new schemes for electric circuit analogy, the stability criteria that...
Analysis on Extended Heisenberg Group
In this paper we study Markov semigroups generated by Hörmander-Dunkl type operators on Heisenberg group.
Analysis on real affine -varieties.
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.