Distribution of zeros of solutions to functional equations

Abstract: In this paper, distribution of zeros of solutions to functional equations is studied. It will be demonstrated that oscillation properties of functional equations are determined by the spectral radius of a corresponding operator acting in the space of essentially bounded functions. Distances between zeros of solutions are estimated. On this basis, zones of solutions positivity to the Dirichlet boundary value problem for delay PDEs are estimated. [Copyright &y& Elsevier]