A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation
We find a new part-metric-related inequality of the form min{ai,1/ai:1≤i≤5}≤((1+w)a1a2a3+a4+a5)/(a1a2+a1a3+a2a3+wa4a5)≤max{ai,1/ai:1≤i≤5}, where 1≤w≤2. We then apply this result to show that c^=1 is a globally asymptotically stable equilibrium of the rationa...
Main Authors: | Maobin Yang, Huaiyi Liu, Xiaofan Yang |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2007-03-01
|
Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2007/19618 |
Similar Items
-
A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation
by: Yang Xiaofan, et al.
Published: (2007-01-01) -
A New Part-Metric-Related Inequality Chain and an Application
by: Xiaofan Yang, et al.
Published: (2008-01-01) -
Part-Metric and Its Applications to Cyclic Discrete Dynamic Systems
by: Wanping Liu, et al.
Published: (2011-01-01) -
Difference inequality for stability of impulsive difference equations with distributed delays
by: Long Shujun, et al.
Published: (2011-01-01) -
On Some Metric Inequalities and Applications
by: Hassen Aydi, et al.
Published: (2020-01-01)