Distribution of zeros of solutions to functional equations

Abstract

In this paper distribution of zeros of solutions to functional equations in the spaces of discontinuous functions 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.

DOI: 10.1016/j.mcm.2004.02.043

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Cite this paper

@article{Domoshnitsky2005DistributionOZ, title={Distribution of zeros of solutions to functional equations}, author={Alexander Domoshnitsky and Michael Drakhlin and Ioannis P. Stavroulakis}, journal={Mathematical and Computer Modelling}, year={2005}, volume={42}, pages={193-205} }