A classic problem in analysis is to solve nonlinear equations of the form F (x) = 0, where F : Dn → Rm is a continuous map of the closed unit disk Dn ⊂ Rn in Rm. A topological technique, which exists in the literature, ...

This article introduces a new concept of solution of a linear singular system (descriptor system), based on minimization. It is shown that, by imposing a hypothesis on the matrices of the descriptor system, the minimization-based ...