Abstract
Abstract The paper is dedicated to formulate an open problem concerning the existence of solutions of an infinite system of nonlinear differential (or integral) equations which are obtained during the modelling of the so-called birth-and-death stochastic process. Namely, creating a model of the mentioned birth-and-death process and also taking into account nonlinear components which are usually deleted during standard considerations, we obtain an infinite system of nonlinear differential (or integral) equations on a bounded or unbounded interval. It turns out that the operator associated with that infinite system is unbounded in all known classical Banach or Fréchet spaces. This fact initiates an open problem which will be described and raised in the paper.
Published Version
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