Gennadii V. Demidenko

Sobolev Institue of Mathematics

Classes of Systems of Differential Equations of High Dimension

In this talk, we establish new connections between solutions to classes of systems of nonlinear ordinary differential equations of high dimension and solutions to delay differential equations. These connections make it possible to find approximate solutions to the systems of high dimension by reducing theirs to delay differential equations. Examples of such systems are systems arising when modeling some biological processes; moreover, the dimensions of these systems may be so large that their solving by a computer may constitute a very complicated problem. Such high-dimensional problems in mathematical biology originated authors studies in this direction.
The author was supported by the Russian Foundation for Basic Research (project no. 18-29-10086).