Study of renewable systems based on functional operators with shift

Oleksandr Karelin, Manuel González-Hernández, Norberto Hernández-Romero, Juan Carlos Seck-Tuoh-Mora · Applied Mathematical Sciences · 2015

In previous works we proposed a method for the study of systems with one renewable resource. The separation of the individual and the group parameters and the discretization of time led us to scalar linear functional equations with shift. Cyclic models, in which the initial state of the system coincides with the nal state, were considered. In this work, we present cyclic models for systems with two renewable resources. In modeling, the interactions and the reciprocal inuences between these two resources are taken into account. We applied our results on invertibility of the functional operators with shift to the study of the balance equations The equilibrium state of the system is found.

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