A direct and inverse problem set for solution of a system on non-linear equations where all component elements were assigned in interval form. The results of dolution of direct and inverse problem were shown to be capable of usage for analysis and synthesis of non-linear systems under known actions and system responses to such actions. An algorithm proposed for solution of direct and inverse problem based on parameter space research method. Application of the method shown on the example of quasi-stationary mode of natural gas transportation along a pipeline section.
systems of non-linear equations, direct problem of solving a system of non-linear equations, interval analysis, non-standard interval analysis, parameter space research method, uncertainty of measurement, quasi-stationary mode of natural gas transportation along a pipeline section