Partially equi-integral \(\phi_0\)-stability of nonlinear differential systems


Authors

Junyan Bao - College of Mathematics and Information Science, Hebei University, Baoding, 071002, China. Xiaojing Liu - College of Mathematics and Information Science, Hebei University, Baoding, 071002, China. Peiguang Wang - College of Electronic and Information Engineering, Hebei University, Baoding, 071002, China.


Abstract

This paper introduces the notions of partially equi-integral stability and partially equi-integral \(\phi_0\)-stability for two differential systems, and establishes some criteria on stability relative to the \(x\)-component by using the cone-valued Lyapunov functions and the comparison technique. An example is also given to illustrate our main results.


Keywords


MSC


References