On stability of nonlinear systems of ordinary differential equations

摘要

The notions of φ0-stability, (h0,h)-stability integral and eventual stability of nonlinear systems of ordinary differential equations (ODE's) are introduced. Our aim in this paper is to improve and extend these notions to new types of stability namely, φ0–Lp-stability, (h0,h)-integral stability and (h0,h)-eventual stability of systems of ODE's, respectively, and given some criteria. Our technique depends on Liapunov direct method.