Application of admissible functions in studying partial stability of solutions of a nonlinear system of differential equations

A new approach related to construction of admissible functions that do not coincide with the Lyapunov functions was proposed to investigate partial stability of solutions of systems of ordinary differential equations. An example of using admissible functions for establishing partial stability of solutions for one nonlinear system of differential equations is presented. © 2018 Author(s).The work was supported by Russian Foundation for Basic Research 16–01–00401 and program of scientific research UrB RAS 18–1–1–8