Radial solutions of a Neumann problem coming from a burglary model

Abstract

Using Leray-Schauder degree arguments, existence results for positive solutions are proved for ordinary differential systems of the form (Formula presented.) with Neumann boundary conditions on [l, L], coming from the study of radial solutions in an annulus of systems containing some mathematical model for the burglary of houses. The requested a priori estimates are obtained by some unusual combination of pointwise and L1-estimates.