Sobre a existência de soluções para equações envolvendo operadores integrais via métodos de pontos fixos.

Abstract

We study problems involving integral operators that generalize dispersion or diffusion operators, so present in biology and ecology applications and that appear in reaction-diffusion equations. To obtain solutions it uses fixed-point topological methods of nonlinear functional analysis, such as: Leray-Schauder degree theory, Rabinowitz bifurcation theory, sub and super solutions method, and etc...