Interdisciplinary application of learning outcomes is essential to the field of mathematics, attainable at intersection
of math with other subjects – which includes applied tasks When studying a number of technical disciplines, as well as
solving applied problems, it is possible to use certain aspects of the theory of optimal control - which is an example of
interdisciplinary link. Analytical mechanics, among other disciplines, enables leverage of certain aspects of the theory
of differential games, namely, equilibrium conditions in non-coalitional differential games of several players. This
article provides studies of the necessary and sufficient conditions for the existence of equilibrium situations, using some
concepts of analytical mechanics. In line with Hamilton’s definition, necessary conditions were obtained in the form of
Hamilton-Jacobi equations. This form of necessary conditions in differential games of N persons is of interest to
students of natural and technical fields.
The main goal of the article is to demonstrate interdisciplinary link, an important component of the process of
training future engineers for various sectors of the economy. It is necessary for the holistic understanding of the
material, so that students of technical specialties of various fields can use it. Proposed work can aid in study of this area
of analytical mechanics by university students and young scientists alike.