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.


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ISRP Style

Junyan Bao, Xiaojing Liu, Peiguang Wang, Partially equi-integral \(\phi_0\)-stability of nonlinear differential systems, Journal of Mathematics and Computer Science, 16 (2016), no. 4, 472-480

AMA Style

Bao Junyan, Liu Xiaojing, Wang Peiguang, Partially equi-integral \(\phi_0\)-stability of nonlinear differential systems. J Math Comput SCI-JM. (2016); 16(4):472-480

Chicago/Turabian Style

Bao, Junyan, Liu, Xiaojing, Wang, Peiguang. "Partially equi-integral \(\phi_0\)-stability of nonlinear differential systems." Journal of Mathematics and Computer Science, 16, no. 4 (2016): 472-480


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