Using integro-differential operators for synthesis of models of large information systems with multiple-valued characteristics of nodes

Abstract

We suggest the method for synthesis the models of information systems storing and reconstructing their configurations for the case of infinite number of nodes when the state of each node can be not uniquely defined. The models use the given structure of non-linear integro-differential equations, constructed for complex functions describing the state of distributed network as basis. The universal form of models is designed, its basic properties are obtained, the algorithm for storing the configurations is constructed.