In a method for the management of tasks in a decentralized data network with a plurality of nodes for carrying out the tasks, resources are distributed based on a mapping rule, in particular a hash function. A task that is to be suspended is distributed by dividing the process image of the task into segments and by distributing the segments over the nodes using the mapping rule. Thus, a distributed swap space is created so that tasks can also be carried out on nodes whose swap space is not sufficient on its own. The method can be used in embedded systems with a limited storage capacity and/or in a voltage distribution system, wherein the nodes are, for example, switching units in the voltage distribution system. The method can also be used in any other technical systems such as, for example, a power generation system, an automation system and the like.