The complexity of exhaustive problems with the properties of large-scale, openness, unpredictable dynamics, and component mobility determines the relevance of developing microservice-oriented software for their solving in a hybrid computational environment. We propose an approach for adapting to this environment both the existing software and new ones developed using new automated technology for creating an applied microservice package and organizing control of computations in it. The distributed computational model is represented by a set of small, loosely coupled, replaceable, interacting with the use of lightweight communication mechanisms autonomous microservices that implement the functions of the program package modules. The decentralized management of the microservices interaction is carried out by a self-organizing multi-agent system, agents of which are delegated the rights to launch microservices. The paper discusses the models, methods, and software platform that form the basis of the proposed technology. We demonstrate the application of the applied microservice package, based on this technology, for solving the problems of qualitative analysis of binary dynamic system using the author's Boolean constraints method.