On parameter classes of solutions for system of linear differential equations.(English)Zbl 0602.34020

Author’s abstract: ”The paper presents some results on the behaviour of parameter classes of solutions for a system of linear differential equations using T. Wažewski’s topological retraction method. It also gives a definition of the auto-stability of classes of solutions for system of differential equations and analyzes a linear system in terms of its stability.”
Reviewer: J.Vosmanský

MSC:

 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations 32C30 Integration on analytic sets and spaces, currents 34D05 Asymptotic properties of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations