Properness and topological degree for nonlocal integro-differential systems

Narcisa Apreutesei (1) , Vitaly Volpert (2, 3)

1 Department of Mathematics [Iasi]
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
3 MMCS - Modélisation mathématique, calcul scientifique

Reaction-diffusion systems of equations with integral terms are studied. Essential spectrum of the corresponding linear operators is determined and the Fredholm property is studied. Properness of nonlinear operators is proved and topological degree is constructed.

Keywords: nonlocal reaction-diffusion equations; Fredholm property; properness; topological degree

Domains: Analysis of PDEs [math.AP]

Narcisa Apreutesei, Vitaly Volpert. Properness and topological degree for nonlocal integro-differential systems. Topological Methods in Nonlinear Analysis, 2014, 43 (1), pp.215-229. ⟨hal-01096780⟩